The document discusses solving the Schrodinger equation to obtain bound state solutions and scattering phase shifts for a modified trigonometric Scarf type potential. It presents the asymptotic iteration method used to find the approximate bound state energies. The scattering phase shift is then calculated by expressing the radial wavefunction as a hypergeometric function and analyzing its asymptotic behavior. The potential's effect on the eigenvalues and scattering is studied numerically.
Bound- State Solution of Schrodinger Equation with Hulthen Plus Generalized E...ijrap
We apply an approximation to centrifugal term to find bound state solutions to Schrodinger equation with
Hulthen Plus generalized exponential Coulomb potential Using Nikiforov-Uvarov Method. Using this
method, we obtained the energy-eigen value and the total wave function. We implement C++ algorithm, to
obtained the numerical values of the energy for different quantum state starting from the first excited state
for different values of the screening parameter.
EXACT SOLUTIONS OF SCHRÖDINGER EQUATION WITH SOLVABLE POTENTIALS FOR NON PT/P...ijrap
We have obtained explicitly the exact solutions of the Schrodinger equation with Non PT/PT symmetric
Rosen Morse II, Scarf II and Coulomb potentials. Energy eigenvalues and the corresponding
unnormalized wave functions for these systems for both Non PT and PT symmetric are also obtained using
the Nikiforov-Uvarov (NU) method.
In this paper we consider the initial-boundary value problem for a nonlinear equation induced with respect to the mathematical models in mass production process with the one sided spring boundary condition by boundary feedback control. We establish the asymptotic behavior of solutions to this problem in time, and give an example and simulation to illustrate our results. Results of this paper are able to apply industrial parts such as a typical model widely used to represent threads, wires, magnetic tapes, belts, band saws, and so on.
Bound- State Solution of Schrodinger Equation with Hulthen Plus Generalized E...ijrap
We apply an approximation to centrifugal term to find bound state solutions to Schrodinger equation with
Hulthen Plus generalized exponential Coulomb potential Using Nikiforov-Uvarov Method. Using this
method, we obtained the energy-eigen value and the total wave function. We implement C++ algorithm, to
obtained the numerical values of the energy for different quantum state starting from the first excited state
for different values of the screening parameter.
EXACT SOLUTIONS OF SCHRÖDINGER EQUATION WITH SOLVABLE POTENTIALS FOR NON PT/P...ijrap
We have obtained explicitly the exact solutions of the Schrodinger equation with Non PT/PT symmetric
Rosen Morse II, Scarf II and Coulomb potentials. Energy eigenvalues and the corresponding
unnormalized wave functions for these systems for both Non PT and PT symmetric are also obtained using
the Nikiforov-Uvarov (NU) method.
In this paper we consider the initial-boundary value problem for a nonlinear equation induced with respect to the mathematical models in mass production process with the one sided spring boundary condition by boundary feedback control. We establish the asymptotic behavior of solutions to this problem in time, and give an example and simulation to illustrate our results. Results of this paper are able to apply industrial parts such as a typical model widely used to represent threads, wires, magnetic tapes, belts, band saws, and so on.
Bound State Solution to Schrodinger Equation with Hulthen Plus Exponential Co...ijrap
In this work, we obtained an approximate bound state solution to Schrodinger with Hulthen plus
exponential Coulombic potential with centrifugal potential barrier using parametric Nikiforov-Uvarov
method. We obtained both the eigen energy and the wave functions to non -relativistic wave equations. We
implement Matlab algorithm to obtained the numerical bound state energies for various values of
adjustable screening parameter at various quantum state.. The developed potential reduces to Hulthen
potential and the numerical bound state energy conform to that of existing literature.
General Solution of Equations of Motion of Axisymmetric Problem of Micro-Isot...IJERA Editor
In this paper, we obtain the general solution of equations of motion of axisymmetric problem of micro-isotropic,
micro-elastic solid in static case. The equations of motion of axisymmetric problem are converted into vector
matrix differential equations using the Hankel transform. Applying the technique of solving the eigen value
problem, the general solution of the said problem is obtained. The results of the corresponding problem in linear
micropolar elasticity are obtained as a particular case of this paper.
SCHRODINGER'S CAT PARADOX RESOLUTION USING GRW COLLAPSE MODELijrap
Possible solution of the Schrödinger's cat paradox is considered.We pointed out that: the collapsed
state of the cat always shows definite and predictable measurement outcomes even if Schrödinger's
cat consists of a superposition: cat=livecat+
deathcat
optimal solution method of integro-differential equaitions under laplace tran...INFOGAIN PUBLICATION
In this paper, Laplace Transform method is developed to solve partial Integro-differential equations. Partial Integro-differential equations (PIDE) occur naturally in various fields of science. Engineering and Social Science. We propose a max general form of linear PIDE with a convolution Kernal. We convert the proposed PIDE to an ordinary differential equation (ODE) using the LT method. We applying inverse LT as exact solution of the problems obtained. It is observed that the LT is a simple and reliable technique for solving such equations. The proposed model illustrated by numerical examples.
M. Visinescu: Hidden Symmetries of the Five-dimensional Sasaki - Einstein SpacesSEENET-MTP
Balkan Workshop BW2013
Beyond the Standard Models
25 – 29 April, 2013, Vrnjačka Banja, Serbia
M. Visinescu: Hidden Symmetries of the Five-dimensional Sasaki - Einstein Spaces
On Fully Indecomposable Quaternion Doubly Stochastic Matricesijtsrd
In traditional years, fully indecomposable matrices have played an vital part in various research topics. For example, they have been used in establishing a necessary condition for a matrix to have a positive inverse also, in the case of simultaneously row and column scaling sub ordinate to the unitarily invariant norms, the minimal condition number diagonalizable, sub stochastic matrices , Kronecker products is achieved for fully indecomposable matrices. In the existence of diagonal matrices D1 and D2 , with strictly positive diagonal elements, such that D1 AD2 is quaternion doubly stochastic, is established for an nXn non negative fully indecomposable matrix A. In a related scaling for fully indecomposable non negative rectangular matrices is also discussed. Dr. Gunasekaran K. | Mrs. Seethadevi R. "On Fully Indecomposable Quaternion Doubly Stochastic Matrices" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-3 | Issue-5 , August 2019, URL: https://www.ijtsrd.com/papers/ijtsrd25351.pdfPaper URL: https://www.ijtsrd.com/mathemetics/other/25351/on-fully-indecomposable-quaternion-doubly-stochastic-matrices/dr-gunasekaran-k
Effect of Magnetic Field on Peristaltic Flow of Williamson Fluid in a Symmetr...IOSRJM
This paper deals with the influence of magnetic field on peristaltic flow of an incompressible Williamson fluid in a symmetric channel with heat and mass transfer. Convective conditions of heat and mass transfer are employed. Viscous dissipation and Joule heating are taken into consideration.Channel walls have compliant properties. Analysis has been carried out through long wavelength and low Reynolds number approach. Resulting problems are solved for small Weissenberg number. Impacts of variables reflecting the salient features of wall properties, concentration and heat transfer coefficient are pointed out. Trapping phenomenon is also analyzed.
Rotation in 3d Space: Euler Angles, Quaternions, Marix DescriptionsSolo Hermelin
Mathematics of rotation in 3d space, a lecture that I've prepared.
This presentation is at a Undergraduate in Science (Math, Physics, Engineering) level.
Please send comments and suggestions to solo.hermelin@gmail.com. Thanks!
Fore more presentations, please visit my website at
http://www.solohermelin.com/
HYBRID SLIDING SYNCHRONIZER DESIGN OF IDENTICAL HYPERCHAOTIC XU SYSTEMS ijitjournal
In this paper, new results have been obtained via sliding mode control for the hybrid chaos synchronization
of identical hyperchaotic Xu systems (Xu, Cai and Zheng, 2009). In hybrid synchronization of master and
slave systems, the odd states are completely synchronized, while the even states are anti-synchronized. The
stability results derived in this paper for the hybrid synchronization of identical hyperchaotic Xu systems
are established using Lyapunov stability theory. MATLAB simulations have been shown for the numerical
results to illustrate the hybrid synchronization schemes derived for the identical hyperchaotic Xu systems.
Analytical Solution Of Schrödinger Equation With Mie–Type Potential Using Fac...ijrap
we have obtained the analytical solution of Schrödinger wave equation with Mie – type potential
using factorization method. We have also obtained energy eigenvalues of our potential and the
corresponding wave function using an ansatz and then compare the result to standard Laguerre’s
differential equation. Under special cases our potential model reduces two well known potentials such as
Coulomb and the Kratzer Feus potentials
Analytical Solution Of Schrödinger Equation With Mie–Type Potential Using Fac...ijrap
we have obtained the analytical solution of Schrödinger wave equation with Mie – type potential
using factorization method. We have also obtained energy eigenvalues of our potential and the
corresponding wave function using an ansatz and then compare the result to standard Laguerre’s
differential equation. Under special cases our potential model reduces two well known potentials such as
Coulomb and the Kratzer Feus potentials.
ANALYTICAL SOLUTIONS OF THE MODIFIED COULOMB POTENTIAL USING THE FACTORIZATIO...ijrap
We have solved exactly Schrödinger equation with modified Coulomb Potential under the framework of
factorization method. Energy levels and the corresponding wave functions in terms of associated Laquerre
function are also obtained. For further guide to interested readers we have computed the energy
eigenvalue for some selected elements for various values of n and l .
Bound State Solution to Schrodinger Equation with Hulthen Plus Exponential Co...ijrap
In this work, we obtained an approximate bound state solution to Schrodinger with Hulthen plus
exponential Coulombic potential with centrifugal potential barrier using parametric Nikiforov-Uvarov
method. We obtained both the eigen energy and the wave functions to non -relativistic wave equations. We
implement Matlab algorithm to obtained the numerical bound state energies for various values of
adjustable screening parameter at various quantum state.. The developed potential reduces to Hulthen
potential and the numerical bound state energy conform to that of existing literature.
General Solution of Equations of Motion of Axisymmetric Problem of Micro-Isot...IJERA Editor
In this paper, we obtain the general solution of equations of motion of axisymmetric problem of micro-isotropic,
micro-elastic solid in static case. The equations of motion of axisymmetric problem are converted into vector
matrix differential equations using the Hankel transform. Applying the technique of solving the eigen value
problem, the general solution of the said problem is obtained. The results of the corresponding problem in linear
micropolar elasticity are obtained as a particular case of this paper.
SCHRODINGER'S CAT PARADOX RESOLUTION USING GRW COLLAPSE MODELijrap
Possible solution of the Schrödinger's cat paradox is considered.We pointed out that: the collapsed
state of the cat always shows definite and predictable measurement outcomes even if Schrödinger's
cat consists of a superposition: cat=livecat+
deathcat
optimal solution method of integro-differential equaitions under laplace tran...INFOGAIN PUBLICATION
In this paper, Laplace Transform method is developed to solve partial Integro-differential equations. Partial Integro-differential equations (PIDE) occur naturally in various fields of science. Engineering and Social Science. We propose a max general form of linear PIDE with a convolution Kernal. We convert the proposed PIDE to an ordinary differential equation (ODE) using the LT method. We applying inverse LT as exact solution of the problems obtained. It is observed that the LT is a simple and reliable technique for solving such equations. The proposed model illustrated by numerical examples.
M. Visinescu: Hidden Symmetries of the Five-dimensional Sasaki - Einstein SpacesSEENET-MTP
Balkan Workshop BW2013
Beyond the Standard Models
25 – 29 April, 2013, Vrnjačka Banja, Serbia
M. Visinescu: Hidden Symmetries of the Five-dimensional Sasaki - Einstein Spaces
On Fully Indecomposable Quaternion Doubly Stochastic Matricesijtsrd
In traditional years, fully indecomposable matrices have played an vital part in various research topics. For example, they have been used in establishing a necessary condition for a matrix to have a positive inverse also, in the case of simultaneously row and column scaling sub ordinate to the unitarily invariant norms, the minimal condition number diagonalizable, sub stochastic matrices , Kronecker products is achieved for fully indecomposable matrices. In the existence of diagonal matrices D1 and D2 , with strictly positive diagonal elements, such that D1 AD2 is quaternion doubly stochastic, is established for an nXn non negative fully indecomposable matrix A. In a related scaling for fully indecomposable non negative rectangular matrices is also discussed. Dr. Gunasekaran K. | Mrs. Seethadevi R. "On Fully Indecomposable Quaternion Doubly Stochastic Matrices" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-3 | Issue-5 , August 2019, URL: https://www.ijtsrd.com/papers/ijtsrd25351.pdfPaper URL: https://www.ijtsrd.com/mathemetics/other/25351/on-fully-indecomposable-quaternion-doubly-stochastic-matrices/dr-gunasekaran-k
Effect of Magnetic Field on Peristaltic Flow of Williamson Fluid in a Symmetr...IOSRJM
This paper deals with the influence of magnetic field on peristaltic flow of an incompressible Williamson fluid in a symmetric channel with heat and mass transfer. Convective conditions of heat and mass transfer are employed. Viscous dissipation and Joule heating are taken into consideration.Channel walls have compliant properties. Analysis has been carried out through long wavelength and low Reynolds number approach. Resulting problems are solved for small Weissenberg number. Impacts of variables reflecting the salient features of wall properties, concentration and heat transfer coefficient are pointed out. Trapping phenomenon is also analyzed.
Rotation in 3d Space: Euler Angles, Quaternions, Marix DescriptionsSolo Hermelin
Mathematics of rotation in 3d space, a lecture that I've prepared.
This presentation is at a Undergraduate in Science (Math, Physics, Engineering) level.
Please send comments and suggestions to solo.hermelin@gmail.com. Thanks!
Fore more presentations, please visit my website at
http://www.solohermelin.com/
HYBRID SLIDING SYNCHRONIZER DESIGN OF IDENTICAL HYPERCHAOTIC XU SYSTEMS ijitjournal
In this paper, new results have been obtained via sliding mode control for the hybrid chaos synchronization
of identical hyperchaotic Xu systems (Xu, Cai and Zheng, 2009). In hybrid synchronization of master and
slave systems, the odd states are completely synchronized, while the even states are anti-synchronized. The
stability results derived in this paper for the hybrid synchronization of identical hyperchaotic Xu systems
are established using Lyapunov stability theory. MATLAB simulations have been shown for the numerical
results to illustrate the hybrid synchronization schemes derived for the identical hyperchaotic Xu systems.
Analytical Solution Of Schrödinger Equation With Mie–Type Potential Using Fac...ijrap
we have obtained the analytical solution of Schrödinger wave equation with Mie – type potential
using factorization method. We have also obtained energy eigenvalues of our potential and the
corresponding wave function using an ansatz and then compare the result to standard Laguerre’s
differential equation. Under special cases our potential model reduces two well known potentials such as
Coulomb and the Kratzer Feus potentials
Analytical Solution Of Schrödinger Equation With Mie–Type Potential Using Fac...ijrap
we have obtained the analytical solution of Schrödinger wave equation with Mie – type potential
using factorization method. We have also obtained energy eigenvalues of our potential and the
corresponding wave function using an ansatz and then compare the result to standard Laguerre’s
differential equation. Under special cases our potential model reduces two well known potentials such as
Coulomb and the Kratzer Feus potentials.
ANALYTICAL SOLUTIONS OF THE MODIFIED COULOMB POTENTIAL USING THE FACTORIZATIO...ijrap
We have solved exactly Schrödinger equation with modified Coulomb Potential under the framework of
factorization method. Energy levels and the corresponding wave functions in terms of associated Laquerre
function are also obtained. For further guide to interested readers we have computed the energy
eigenvalue for some selected elements for various values of n and l .
Exact Bound State Solution of Qdeformed Woods-Saxon Plus Modified Coulomb Pot...ijrap
In this work, we obtained an exact solution to Schrodinger equation using q-deformed Woods-Saxon plus
modified Coulomb potential Using conventional Nikiforov-Uvarov method. We also obtained the energy
eigen value and its associated total wave function . This potential with some suitable conditions reduces to
two well known potentials namely: the Yukawa and coulomb potential. Finally, we obtained the numerical
results for energy eigen value with different values of q as dimensionless parameter. The result shows that
the values of the energies for different quantum number(n) is negative(bound state condition) and increases
with an increase in the value of the dimensionless parameter(arbitrary constant). The graph in figure (1)
shows the different energy levels for a particular quantum number.
Exact Bound State Solution of Qdeformed Woods-Saxon Plus Modified Coulomb Pot...ijrap
In this work, we obtained an exact solution to Schrodinger equation using q-deformed Woods-Saxon plus modified Coulomb potential Using conventional Nikiforov-Uvarov method. We also obtained the energy eigen value and its associated total wave function . This potential with some suitable conditions reduces to two well known potentials namely: the Yukawa and coulomb potential. Finally, we obtained the numerical results for energy eigen value with different values of q as dimensionless parameter. The result shows that the values of the energies for different quantum number(n) is negative(bound state condition) and increases with an increase in the value of the dimensionless parameter(arbitrary constant). The graph in figure (1) shows the different energy levels for a particular quantum number.
Anomalous Diffusion Through Homopolar Membrane: One-Dimensional Model by Guilherme Garcia Gimenez and Adélcio C Oliveira* in Evolutions in Mechanical Engineering
Analytical Solution Of Schrodinger Equation With Mie-Type Potential Using Fac...ijrap
we have obtained the analytical solution of Schrödinger wave equation with Mie – type potential
using factorization method. We have also obtained energy eigenvalues of our potential and the
corresponding wave function using an ansatz and then compare the result to standard Laguerre’s
differential equation. Under special cases our potential model reduces two well known potentials such as
Coulomb and the Kratzer Feus potentials.
Bound State Solution of the Klein–Gordon Equation for the Modified Screened C...BRNSS Publication Hub
We present solution of the Klein–Gordon equation for the modified screened Coulomb potential (Yukawa) plus inversely quadratic Yukawa potential through formula method. The conventional formula method which constitutes a simple formula for finding bound state solution of any quantum mechanical wave equation, which is simplified to the form; 2122233()()''()'()()0(1)(1)kksAsBscsssskssks−++ψ+ψ+ψ=−−. The bound state energy eigenvalues and its corresponding wave function obtained with its efficiency in spectroscopy.
Key words: Bound state, inversely quadratic Yukawa, Klein–Gordon, modified screened coulomb (Yukawa), quantum wave equation
Solutions of the Schrodinger Equation with Inversely Quadratic Hellmann Plus ...ijrap
The solutions of the Schrödinger equation with inversely quadratic Hellmann plus Mie-type potential for
any angular momentum quantum number have been presented using the Nikiforov-Uvarov method. The
bound state energy eigenvalues and the corresponding un-normalized eigenfunctions are obtained in terms
of the Laguerre polynomials. Several cases of the potential are also considered and their eigen values
obtained.
SOLUTIONS OF THE SCHRÖDINGER EQUATION WITH INVERSELY QUADRATIC HELLMANN PLUS ...ijrap
The solutions of the Schrödinger equation with inversely quadratic Hellmann plus Mie-type potential for
any angular momentum quantum number have been presented using the Nikiforov-Uvarov method. The
bound state energy eigenvalues and the corresponding un-normalized eigenfunctions are obtained in terms
of the Laguerre polynomials. Several cases of the potential are also considered and their eigen values obtained.
Analytical Solutions of the Modified Coulomb Potential using the Factorizatio...ijrap
We have solved exactly Schrödinger equation with modified Coulomb Potential under the framework of factorization method. Energy levels and the corresponding wave functions in terms of associated Laquerre
function are also obtained. For further guide to interested readers we have computed the energy eigenvalue for some selected elements for various values of n and l .
Exact Solutions of the Klein-Gordon Equation for the Q-Deformed Morse Potenti...ijrap
In this work, we solve the Klein-Gordon (KG) equation for the general deformed Morse potential with
equal scalar and vector potentials by using the Nikiforov-Uvarov (NU) method, which is based on the
solutions of general second-order linear differential equation with special functions. The energy
eigenvalues and corresponding normalized eigenfunctions are obtained. It is found that the eigenfunctions
can be expressed by the Laguerre polynomials. Our solutions have a good agreement with earlier study.
Bound State Solution to Schrodinger Equation With Modified Hylleraas Plus Inv...ijrap
In this work, we obtained an approximate bound state solution to Schrodinger equation with modified
Hylleraass plus inversely quadratic potential using Supersymmetric quantum mechanics approach.
Applying perkeris approximation to the centrifugal term, we obtained the eigen-energy and the normalized
wave function using Gauss and confluent hypergeometric functions. We implement Fortran algorithm to
obtained the numerical result of the energy for the screening parameter α = 0.1,0.2,0.3, 0.4 0.5 and .
The result shows that the energy increases with an increase in the quantum state. The energy spectrum
shows increase in angular quantum state spacing as the screening parameter increases.
BOUND STATE SOLUTION TO SCHRODINGER EQUATION WITH MODIFIED HYLLERAAS PLUS INV...ijrap
In this work, we obtained an approximate bound state solution to Schrodinger equation with modified
Hylleraass plus inversely quadratic potential using Supersymmetric quantum mechanics approach.
Applying perkeris approximation to the centrifugal term, we obtained the eigen-energy and the normalized
wave function using Gauss and confluent hypergeometric functions. We implement Fortran algorithm to
obtained the numerical result of the energy for the screening parameter α = 0.1,0.2,0.3, 0.4 0.5 and .
The result shows that the energy increases with an increase in the quantum state. The energy spectrum
shows increase in angular quantum state spacing as the screening parameter increases.
The numerical solution of helmholtz equation via multivariate padé approximationeSAT Journals
Abstract
In this study, we consider the numerical solution of the Helmholtz equation, arising from numerous physical phenomena and
engineering applications including energy systems. We make use of a Padé Approximation method for the solution of the
Helmholtz equation. Firstly, Helmholtz partial differential equation had been converted to power series by two-dimensional
differential transformation, then the numerical solution of the equation was put into Padé series form for accelerating
convergence and decreasing computational time. Hereby, we obtained numerical solution of Helmholtz type partial differential
equation.
Key Words: Helmholtz equation, Two-dimensional differential transformation, Multivariate Padé approximation,
power series
Submission Deadline: 30th September 2022
Acceptance Notification: Within Three Days’ time period
Online Publication: Within 24 Hrs. time Period
Expected Date of Dispatch of Printed Journal: 5th October 2022
MODELING AND ANALYSIS OF SURFACE ROUGHNESS AND WHITE LATER THICKNESS IN WIRE-...IAEME Publication
White layer thickness (WLT) formed and surface roughness in wire electric discharge turning (WEDT) of tungsten carbide composite has been made to model through response surface methodology (RSM). A Taguchi’s standard Design of experiments involving five input variables with three levels has been employed to establish a mathematical model between input parameters and responses. Percentage of cobalt content, spindle speed, Pulse on-time, wire feed and pulse off-time were changed during the experimental tests based on the Taguchi’s orthogonal array L27 (3^13). Analysis of variance (ANOVA) revealed that the mathematical models obtained can adequately describe performance within the parameters of the factors considered. There was a good agreement between the experimental and predicted values in this study.
A STUDY ON THE REASONS FOR TRANSGENDER TO BECOME ENTREPRENEURSIAEME Publication
The study explores the reasons for a transgender to become entrepreneurs. In this study transgender entrepreneur was taken as independent variable and reasons to become as dependent variable. Data were collected through a structured questionnaire containing a five point Likert Scale. The study examined the data of 30 transgender entrepreneurs in Salem Municipal Corporation of Tamil Nadu State, India. Simple Random sampling technique was used. Garrett Ranking Technique (Percentile Position, Mean Scores) was used as the analysis for the present study to identify the top 13 stimulus factors for establishment of trans entrepreneurial venture. Economic advancement of a nation is governed upon the upshot of a resolute entrepreneurial doings. The conception of entrepreneurship has stretched and materialized to the socially deflated uncharted sections of transgender community. Presently transgenders have smashed their stereotypes and are making recent headlines of achievements in various fields of our Indian society. The trans-community is gradually being observed in a new light and has been trying to achieve prospective growth in entrepreneurship. The findings of the research revealed that the optimistic changes are taking place to change affirmative societal outlook of the transgender for entrepreneurial ventureship. It also laid emphasis on other transgenders to renovate their traditional living. The paper also highlights that legislators, supervisory body should endorse an impartial canons and reforms in Tamil Nadu Transgender Welfare Board Association.
BROAD UNEXPOSED SKILLS OF TRANSGENDER ENTREPRENEURSIAEME Publication
Since ages gender difference is always a debatable theme whether caused by nature, evolution or environment. The birth of a transgender is dreadful not only for the child but also for their parents. The pain of living in the wrong physique and treated as second class victimized citizen is outrageous and fully harboured with vicious baseless negative scruples. For so long, social exclusion had perpetuated inequality and deprivation experiencing ingrained malign stigma and besieged victims of crime or violence across their life spans. They are pushed into the murky way of life with a source of eternal disgust, bereft sexual potency and perennial fear. Although they are highly visible but very little is known about them. The common public needs to comprehend the ravaged arrogance on these insensitive souls and assist in integrating them into the mainstream by offering equal opportunity, treat with humanity and respect their dignity. Entrepreneurship in the current age is endorsing the gender fairness movement. Unstable careers and economic inadequacy had inclined one of the gender variant people called Transgender to become entrepreneurs. These tiny budding entrepreneurs resulted in economic transition by means of employment, free from the clutches of stereotype jobs, raised standard of living and handful of financial empowerment. Besides all these inhibitions, they were able to witness a platform for skill set development that ignited them to enter into entrepreneurial domain. This paper epitomizes skill sets involved in trans-entrepreneurs of Thoothukudi Municipal Corporation of Tamil Nadu State and is a groundbreaking determination to sightsee various skills incorporated and the impact on entrepreneurship.
DETERMINANTS AFFECTING THE USER'S INTENTION TO USE MOBILE BANKING APPLICATIONSIAEME Publication
The banking and financial services industries are experiencing increased technology penetration. Among them, the banking industry has made technological advancements to better serve the general populace. The economy focused on transforming the banking sector's system into a cashless, paperless, and faceless one. The researcher wants to evaluate the user's intention for utilising a mobile banking application. The study also examines the variables affecting the user's behaviour intention when selecting specific applications for financial transactions. The researcher employed a well-structured questionnaire and a descriptive study methodology to gather the respondents' primary data utilising the snowball sampling technique. The study includes variables like performance expectations, effort expectations, social impact, enabling circumstances, and perceived risk. Each of the aforementioned variables has a major impact on how users utilise mobile banking applications. The outcome will assist the service provider in comprehending the user's history with mobile banking applications.
ANALYSE THE USER PREDILECTION ON GPAY AND PHONEPE FOR DIGITAL TRANSACTIONSIAEME Publication
Technology upgradation in banking sector took the economy to view that payment mode towards online transactions using mobile applications. This system enabled connectivity between banks, Merchant and user in a convenient mode. there are various applications used for online transactions such as Google pay, Paytm, freecharge, mobikiwi, oxygen, phonepe and so on and it also includes mobile banking applications. The study aimed at evaluating the predilection of the user in adopting digital transaction. The study is descriptive in nature. The researcher used random sample techniques to collect the data. The findings reveal that mobile applications differ with the quality of service rendered by Gpay and Phonepe. The researcher suggest the Phonepe application should focus on implementing the application should be user friendly interface and Gpay on motivating the users to feel the importance of request for money and modes of payments in the application.
VOICE BASED ATM FOR VISUALLY IMPAIRED USING ARDUINOIAEME Publication
The prototype of a voice-based ATM for visually impaired using Arduino is to help people who are blind. This uses RFID cards which contain users fingerprint encrypted on it and interacts with the users through voice commands. ATM operates when sensor detects the presence of one person in the cabin. After scanning the RFID card, it will ask to select the mode like –normal or blind. User can select the respective mode through voice input, if blind mode is selected the balance check or cash withdraw can be done through voice input. Normal mode procedure is same as the existing ATM.
IMPACT OF EMOTIONAL INTELLIGENCE ON HUMAN RESOURCE MANAGEMENT PRACTICES AMONG...IAEME Publication
There is increasing acceptability of emotional intelligence as a major factor in personality assessment and effective human resource management. Emotional intelligence as the ability to build capacity, empathize, co-operate, motivate and develop others cannot be divorced from both effective performance and human resource management systems. The human person is crucial in defining organizational leadership and fortunes in terms of challenges and opportunities and walking across both multinational and bilateral relationships. The growing complexity of the business world requires a great deal of self-confidence, integrity, communication, conflict and diversity management to keep the global enterprise within the paths of productivity and sustainability. Using the exploratory research design and 255 participants the result of this original study indicates strong positive correlation between emotional intelligence and effective human resource management. The paper offers suggestions on further studies between emotional intelligence and human capital development and recommends for conflict management as an integral part of effective human resource management.
VISUALISING AGING PARENTS & THEIR CLOSE CARERS LIFE JOURNEY IN AGING ECONOMYIAEME Publication
Our life journey, in general, is closely defined by the way we understand the meaning of why we coexist and deal with its challenges. As we develop the "inspiration economy", we could say that nearly all of the challenges we have faced are opportunities that help us to discover the rest of our journey. In this note paper, we explore how being faced with the opportunity of being a close carer for an aging parent with dementia brought intangible discoveries that changed our insight of the meaning of the rest of our life journey.
A STUDY ON THE IMPACT OF ORGANIZATIONAL CULTURE ON THE EFFECTIVENESS OF PERFO...IAEME Publication
The main objective of this study is to analyze the impact of aspects of Organizational Culture on the Effectiveness of the Performance Management System (PMS) in the Health Care Organization at Thanjavur. Organizational Culture and PMS play a crucial role in present-day organizations in achieving their objectives. PMS needs employees’ cooperation to achieve its intended objectives. Employees' cooperation depends upon the organization’s culture. The present study uses exploratory research to examine the relationship between the Organization's culture and the Effectiveness of the Performance Management System. The study uses a Structured Questionnaire to collect the primary data. For this study, Thirty-six non-clinical employees were selected from twelve randomly selected Health Care organizations at Thanjavur. Thirty-two fully completed questionnaires were received.
Living in 21st century in itself reminds all of us the necessity of police and its administration. As more and more we are entering into the modern society and culture, the more we require the services of the so called ‘Khaki Worthy’ men i.e., the police personnel. Whether we talk of Indian police or the other nation’s police, they all have the same recognition as they have in India. But as already mentioned, their services and requirements are different after the like 26th November, 2008 incidents, where they without saving their own lives has sacrificed themselves without any hitch and without caring about their respective family members and wards. In other words, they are like our heroes and mentors who can guide us from the darkness of fear, militancy, corruption and other dark sides of life and so on. Now the question arises, if Gandhi would have been alive today, what would have been his reaction/opinion to the police and its functioning? Would he have some thing different in his mind now what he had been in his mind before the partition or would he be going to start some Satyagraha in the form of some improvement in the functioning of the police administration? Really these questions or rather night mares can come to any one’s mind, when there is too much confusion is prevailing in our minds, when there is too much corruption in the society and when the polices working is also in the questioning because of one or the other case throughout the India. It is matter of great concern that we have to thing over our administration and our practical approach because the police personals are also like us, they are part and parcel of our society and among one of us, so why we all are pin pointing towards them.
A STUDY ON TALENT MANAGEMENT AND ITS IMPACT ON EMPLOYEE RETENTION IN SELECTED...IAEME Publication
The goal of this study was to see how talent management affected employee retention in the selected IT organizations in Chennai. The fundamental issue was the difficulty to attract, hire, and retain talented personnel who perform well and the gap between supply and demand of talent acquisition and retaining them within the firms. The study's main goals were to determine the impact of talent management on employee retention in IT companies in Chennai, investigate talent management strategies that IT companies could use to improve talent acquisition, performance management, career planning and formulate retention strategies that the IT firms could use. The respondents were given a structured close-ended questionnaire with the 5 Point Likert Scale as part of the study's quantitative research design. The target population consisted of 289 IT professionals. The questionnaires were distributed and collected by the researcher directly. The Statistical Package for Social Sciences (SPSS) was used to collect and analyse the questionnaire responses. Hypotheses that were formulated for the various areas of the study were tested using a variety of statistical tests. The key findings of the study suggested that talent management had an impact on employee retention. The studies also found that there is a clear link between the implementation of talent management and retention measures. Management should provide enough training and development for employees, clarify job responsibilities, provide adequate remuneration packages, and recognise employees for exceptional performance.
ATTRITION IN THE IT INDUSTRY DURING COVID-19 PANDEMIC: LINKING EMOTIONAL INTE...IAEME Publication
Globally, Millions of dollars were spent by the organizations for employing skilled Information Technology (IT) professionals. It is costly to replace unskilled employees with IT professionals possessing technical skills and competencies that aid in interconnecting the business processes. The organization’s employment tactics were forced to alter by globalization along with technological innovations as they consistently diminish to remain lean, outsource to concentrate on core competencies along with restructuring/reallocate personnel to gather efficiency. As other jobs, organizations or professions have become reasonably more appropriate in a shifting employment landscape, the above alterations trigger both involuntary as well as voluntary turnover. The employee view on jobs is also afflicted by the COVID-19 pandemic along with the employee-driven labour market. So, having effective strategies is necessary to tackle the withdrawal rate of employees. By associating Emotional Intelligence (EI) along with Talent Management (TM) in the IT industry, the rise in attrition rate was analyzed in this study. Only 303 respondents were collected out of 350 participants to whom questionnaires were distributed. From the employees of IT organizations located in Bangalore (India), the data were congregated. A simple random sampling methodology was employed to congregate data as of the respondents. Generating the hypothesis along with testing is eventuated. The effect of EI and TM along with regression analysis between TM and EI was analyzed. The outcomes indicated that employee and Organizational Performance (OP) were elevated by effective EI along with TM.
INFLUENCE OF TALENT MANAGEMENT PRACTICES ON ORGANIZATIONAL PERFORMANCE A STUD...IAEME Publication
By implementing talent management strategy, organizations would have the option to retain their skilled professionals while additionally working on their overall performance. It is the course of appropriately utilizing the ideal individuals, setting them up for future top positions, exploring and dealing with their performance, and holding them back from leaving the organization. It is employee performance that determines the success of every organization. The firm quickly obtains an upper hand over its rivals in the event that its employees having particular skills that cannot be duplicated by the competitors. Thus, firms are centred on creating successful talent management practices and processes to deal with the unique human resources. Firms are additionally endeavouring to keep their top/key staff since on the off chance that they leave; the whole store of information leaves the firm's hands. The study's objective was to determine the impact of talent management on organizational performance among the selected IT organizations in Chennai. The study recommends that talent management limitedly affects performance. On the off chance that this talent is appropriately management and implemented properly, organizations might benefit as much as possible from their maintained assets to support development and productivity, both monetarily and non-monetarily.
A STUDY OF VARIOUS TYPES OF LOANS OF SELECTED PUBLIC AND PRIVATE SECTOR BANKS...IAEME Publication
Banking regulations act of India, 1949 defines banking as “acceptance of deposits for the purpose of lending or investment from the public, repayment on demand or otherwise and withdrawable through cheques, drafts order or otherwise”, the major participants of the Indian financial system are commercial banks, the financial institution encompassing term lending institutions. Investments institutions, specialized financial institution and the state level development banks, non banking financial companies (NBFC) and other market intermediaries such has the stock brokers and money lenders are among the oldest of the certain variants of NBFC and the oldest market participants. The asset quality of banks is one of the most important indicators of their financial health. The Indian banking sector has been facing severe problems of increasing Non- Performing Assets (NPAs). The NPAs growth directly and indirectly affects the quality of assets and profitability of banks. It also shows the efficiency of banks credit risk management and the recovery effectiveness. NPA do not generate any income, whereas, the bank is required to make provisions for such as assets that why is a double edge weapon. This paper outlines the concept of quality of bank loans of different types like Housing, Agriculture and MSME loans in state Haryana of selected public and private sector banks. This study is highlighting problems associated with the role of commercial bank in financing Small and Medium Scale Enterprises (SME). The overall objective of the research was to assess the effect of the financing provisions existing for the setting up and operations of MSMEs in the country and to generate recommendations for more robust financing mechanisms for successful operation of the MSMEs, in turn understanding the impact of MSME loans on financial institutions due to NPA. There are many research conducted on the topic of Non- Performing Assets (NPA) Management, concerning particular bank, comparative study of public and private banks etc. In this paper the researcher is considering the aggregate data of selected public sector and private sector banks and attempts to compare the NPA of Housing, Agriculture and MSME loans in state Haryana of public and private sector banks. The tools used in the study are average and Anova test and variance. The findings reveal that NPA is common problem for both public and private sector banks and is associated with all types of loans either that is housing loans, agriculture loans and loans to SMES. NPAs of both public and private sector banks show the increasing trend. In 2010-11 GNPA of public and private sector were at same level it was 2% but after 2010-11 it increased in many fold and at present there is GNPA in some more than 15%. It shows the dark area of Indian banking sector.
EXPERIMENTAL STUDY OF MECHANICAL AND TRIBOLOGICAL RELATION OF NYLON/BaSO4 POL...IAEME Publication
An experiment conducted in this study found that BaSO4 changed Nylon 6's mechanical properties. By changing the weight ratios, BaSO4 was used to make Nylon 6. This Researcher looked into how hard Nylon-6/BaSO4 composites are and how well they wear. Experiments were done based on Taguchi design L9. Nylon-6/BaSO4 composites can be tested for their hardness number using a Rockwell hardness testing apparatus. On Nylon/BaSO4, the wear behavior was measured by a wear monitor, pinon-disc friction by varying reinforcement, sliding speed, and sliding distance, and the microstructure of the crack surfaces was observed by SEM. This study provides significant contributions to ultimate strength by increasing BaSO4 content up to 16% in the composites, and sliding speed contributes 72.45% to the wear rate
ROLE OF SOCIAL ENTREPRENEURSHIP IN RURAL DEVELOPMENT OF INDIA - PROBLEMS AND ...IAEME Publication
The majority of the population in India lives in villages. The village is the back bone of the country. Village or rural industries play an important role in the national economy, particularly in the rural development. Developing the rural economy is one of the key indicators towards a country’s success. Whether it be the need to look after the welfare of the farmers or invest in rural infrastructure, Governments have to ensure that rural development isn’t compromised. The economic development of our country largely depends on the progress of rural areas and the standard of living of rural masses. Village or rural industries play an important role in the national economy, particularly in the rural development. Rural entrepreneurship is based on stimulating local entrepreneurial talent and the subsequent growth of indigenous enterprises. It recognizes opportunity in the rural areas and accelerates a unique blend of resources either inside or outside of agriculture. Rural entrepreneurship brings an economic value to the rural sector by creating new methods of production, new markets, new products and generate employment opportunities thereby ensuring continuous rural development. Social Entrepreneurship has the direct and primary objective of serving the society along with the earning profits. So, social entrepreneurship is different from the economic entrepreneurship as its basic objective is not to earn profits but for providing innovative solutions to meet the society needs which are not taken care by majority of the entrepreneurs as they are in the business for profit making as a sole objective. So, the Social Entrepreneurs have the huge growth potential particularly in the developing countries like India where we have huge societal disparities in terms of the financial positions of the population. Still 22 percent of the Indian population is below the poverty line and also there is disparity among the rural & urban population in terms of families living under BPL. 25.7 percent of the rural population & 13.7 percent of the urban population is under BPL which clearly shows the disparity of the poor people in the rural and urban areas. The need to develop social entrepreneurship in agriculture is dictated by a large number of social problems. Such problems include low living standards, unemployment, and social tension. The reasons that led to the emergence of the practice of social entrepreneurship are the above factors. The research problem lays upon disclosing the importance of role of social entrepreneurship in rural development of India. The paper the tendencies of social entrepreneurship in India, to present successful examples of such business for providing recommendations how to improve situation in rural areas in terms of social entrepreneurship development. Indian government has made some steps towards development of social enterprises, social entrepreneurship, and social in- novation, but a lot remains to be improved.
OPTIMAL RECONFIGURATION OF POWER DISTRIBUTION RADIAL NETWORK USING HYBRID MET...IAEME Publication
Distribution system is a critical link between the electric power distributor and the consumers. Most of the distribution networks commonly used by the electric utility is the radial distribution network. However in this type of network, it has technical issues such as enormous power losses which affect the quality of the supply. Nowadays, the introduction of Distributed Generation (DG) units in the system help improve and support the voltage profile of the network as well as the performance of the system components through power loss mitigation. In this study network reconfiguration was done using two meta-heuristic algorithms Particle Swarm Optimization and Gravitational Search Algorithm (PSO-GSA) to enhance power quality and voltage profile in the system when simultaneously applied with the DG units. Backward/Forward Sweep Method was used in the load flow analysis and simulated using the MATLAB program. Five cases were considered in the Reconfiguration based on the contribution of DG units. The proposed method was tested using IEEE 33 bus system. Based on the results, there was a voltage profile improvement in the system from 0.9038 p.u. to 0.9594 p.u.. The integration of DG in the network also reduced power losses from 210.98 kW to 69.3963 kW. Simulated results are drawn to show the performance of each case.
APPLICATION OF FRUGAL APPROACH FOR PRODUCTIVITY IMPROVEMENT - A CASE STUDY OF...IAEME Publication
Manufacturing industries have witnessed an outburst in productivity. For productivity improvement manufacturing industries are taking various initiatives by using lean tools and techniques. However, in different manufacturing industries, frugal approach is applied in product design and services as a tool for improvement. Frugal approach contributed to prove less is more and seems indirectly contributing to improve productivity. Hence, there is need to understand status of frugal approach application in manufacturing industries. All manufacturing industries are trying hard and putting continuous efforts for competitive existence. For productivity improvements, manufacturing industries are coming up with different effective and efficient solutions in manufacturing processes and operations. To overcome current challenges, manufacturing industries have started using frugal approach in product design and services. For this study, methodology adopted with both primary and secondary sources of data. For primary source interview and observation technique is used and for secondary source review has done based on available literatures in website, printed magazines, manual etc. An attempt has made for understanding application of frugal approach with the study of manufacturing industry project. Manufacturing industry selected for this project study is Mahindra and Mahindra Ltd. This paper will help researcher to find the connections between the two concepts productivity improvement and frugal approach. This paper will help to understand significance of frugal approach for productivity improvement in manufacturing industry. This will also help to understand current scenario of frugal approach in manufacturing industry. In manufacturing industries various process are involved to deliver the final product. In the process of converting input in to output through manufacturing process productivity plays very critical role. Hence this study will help to evolve status of frugal approach in productivity improvement programme. The notion of frugal can be viewed as an approach towards productivity improvement in manufacturing industries.
A MULTIPLE – CHANNEL QUEUING MODELS ON FUZZY ENVIRONMENTIAEME Publication
In this paper, we investigated a queuing model of fuzzy environment-based a multiple channel queuing model (M/M/C) ( /FCFS) and study its performance under realistic conditions. It applies a nonagonal fuzzy number to analyse the relevant performance of a multiple channel queuing model (M/M/C) ( /FCFS). Based on the sub interval average ranking method for nonagonal fuzzy number, we convert fuzzy number to crisp one. Numerical results reveal that the efficiency of this method. Intuitively, the fuzzy environment adapts well to a multiple channel queuing models (M/M/C) ( /FCFS) are very well.
Using recycled concrete aggregates (RCA) for pavements is crucial to achieving sustainability. Implementing RCA for new pavement can minimize carbon footprint, conserve natural resources, reduce harmful emissions, and lower life cycle costs. Compared to natural aggregate (NA), RCA pavement has fewer comprehensive studies and sustainability assessments.
NUMERICAL SIMULATIONS OF HEAT AND MASS TRANSFER IN CONDENSING HEAT EXCHANGERS...ssuser7dcef0
Power plants release a large amount of water vapor into the
atmosphere through the stack. The flue gas can be a potential
source for obtaining much needed cooling water for a power
plant. If a power plant could recover and reuse a portion of this
moisture, it could reduce its total cooling water intake
requirement. One of the most practical way to recover water
from flue gas is to use a condensing heat exchanger. The power
plant could also recover latent heat due to condensation as well
as sensible heat due to lowering the flue gas exit temperature.
Additionally, harmful acids released from the stack can be
reduced in a condensing heat exchanger by acid condensation. reduced in a condensing heat exchanger by acid condensation.
Condensation of vapors in flue gas is a complicated
phenomenon since heat and mass transfer of water vapor and
various acids simultaneously occur in the presence of noncondensable
gases such as nitrogen and oxygen. Design of a
condenser depends on the knowledge and understanding of the
heat and mass transfer processes. A computer program for
numerical simulations of water (H2O) and sulfuric acid (H2SO4)
condensation in a flue gas condensing heat exchanger was
developed using MATLAB. Governing equations based on
mass and energy balances for the system were derived to
predict variables such as flue gas exit temperature, cooling
water outlet temperature, mole fraction and condensation rates
of water and sulfuric acid vapors. The equations were solved
using an iterative solution technique with calculations of heat
and mass transfer coefficients and physical properties.
Hybrid optimization of pumped hydro system and solar- Engr. Abdul-Azeez.pdffxintegritypublishin
Advancements in technology unveil a myriad of electrical and electronic breakthroughs geared towards efficiently harnessing limited resources to meet human energy demands. The optimization of hybrid solar PV panels and pumped hydro energy supply systems plays a pivotal role in utilizing natural resources effectively. This initiative not only benefits humanity but also fosters environmental sustainability. The study investigated the design optimization of these hybrid systems, focusing on understanding solar radiation patterns, identifying geographical influences on solar radiation, formulating a mathematical model for system optimization, and determining the optimal configuration of PV panels and pumped hydro storage. Through a comparative analysis approach and eight weeks of data collection, the study addressed key research questions related to solar radiation patterns and optimal system design. The findings highlighted regions with heightened solar radiation levels, showcasing substantial potential for power generation and emphasizing the system's efficiency. Optimizing system design significantly boosted power generation, promoted renewable energy utilization, and enhanced energy storage capacity. The study underscored the benefits of optimizing hybrid solar PV panels and pumped hydro energy supply systems for sustainable energy usage. Optimizing the design of solar PV panels and pumped hydro energy supply systems as examined across diverse climatic conditions in a developing country, not only enhances power generation but also improves the integration of renewable energy sources and boosts energy storage capacities, particularly beneficial for less economically prosperous regions. Additionally, the study provides valuable insights for advancing energy research in economically viable areas. Recommendations included conducting site-specific assessments, utilizing advanced modeling tools, implementing regular maintenance protocols, and enhancing communication among system components.
Hierarchical Digital Twin of a Naval Power SystemKerry Sado
A hierarchical digital twin of a Naval DC power system has been developed and experimentally verified. Similar to other state-of-the-art digital twins, this technology creates a digital replica of the physical system executed in real-time or faster, which can modify hardware controls. However, its advantage stems from distributing computational efforts by utilizing a hierarchical structure composed of lower-level digital twin blocks and a higher-level system digital twin. Each digital twin block is associated with a physical subsystem of the hardware and communicates with a singular system digital twin, which creates a system-level response. By extracting information from each level of the hierarchy, power system controls of the hardware were reconfigured autonomously. This hierarchical digital twin development offers several advantages over other digital twins, particularly in the field of naval power systems. The hierarchical structure allows for greater computational efficiency and scalability while the ability to autonomously reconfigure hardware controls offers increased flexibility and responsiveness. The hierarchical decomposition and models utilized were well aligned with the physical twin, as indicated by the maximum deviations between the developed digital twin hierarchy and the hardware.
About
Indigenized remote control interface card suitable for MAFI system CCR equipment. Compatible for IDM8000 CCR. Backplane mounted serial and TCP/Ethernet communication module for CCR remote access. IDM 8000 CCR remote control on serial and TCP protocol.
• Remote control: Parallel or serial interface.
• Compatible with MAFI CCR system.
• Compatible with IDM8000 CCR.
• Compatible with Backplane mount serial communication.
• Compatible with commercial and Defence aviation CCR system.
• Remote control system for accessing CCR and allied system over serial or TCP.
• Indigenized local Support/presence in India.
• Easy in configuration using DIP switches.
Technical Specifications
Indigenized remote control interface card suitable for MAFI system CCR equipment. Compatible for IDM8000 CCR. Backplane mounted serial and TCP/Ethernet communication module for CCR remote access. IDM 8000 CCR remote control on serial and TCP protocol.
Key Features
Indigenized remote control interface card suitable for MAFI system CCR equipment. Compatible for IDM8000 CCR. Backplane mounted serial and TCP/Ethernet communication module for CCR remote access. IDM 8000 CCR remote control on serial and TCP protocol.
• Remote control: Parallel or serial interface
• Compatible with MAFI CCR system
• Copatiable with IDM8000 CCR
• Compatible with Backplane mount serial communication.
• Compatible with commercial and Defence aviation CCR system.
• Remote control system for accessing CCR and allied system over serial or TCP.
• Indigenized local Support/presence in India.
Application
• Remote control: Parallel or serial interface.
• Compatible with MAFI CCR system.
• Compatible with IDM8000 CCR.
• Compatible with Backplane mount serial communication.
• Compatible with commercial and Defence aviation CCR system.
• Remote control system for accessing CCR and allied system over serial or TCP.
• Indigenized local Support/presence in India.
• Easy in configuration using DIP switches.
Final project report on grocery store management system..pdfKamal Acharya
In today’s fast-changing business environment, it’s extremely important to be able to respond to client needs in the most effective and timely manner. If your customers wish to see your business online and have instant access to your products or services.
Online Grocery Store is an e-commerce website, which retails various grocery products. This project allows viewing various products available enables registered users to purchase desired products instantly using Paytm, UPI payment processor (Instant Pay) and also can place order by using Cash on Delivery (Pay Later) option. This project provides an easy access to Administrators and Managers to view orders placed using Pay Later and Instant Pay options.
In order to develop an e-commerce website, a number of Technologies must be studied and understood. These include multi-tiered architecture, server and client-side scripting techniques, implementation technologies, programming language (such as PHP, HTML, CSS, JavaScript) and MySQL relational databases. This is a project with the objective to develop a basic website where a consumer is provided with a shopping cart website and also to know about the technologies used to develop such a website.
This document will discuss each of the underlying technologies to create and implement an e- commerce website.
Sachpazis:Terzaghi Bearing Capacity Estimation in simple terms with Calculati...Dr.Costas Sachpazis
Terzaghi's soil bearing capacity theory, developed by Karl Terzaghi, is a fundamental principle in geotechnical engineering used to determine the bearing capacity of shallow foundations. This theory provides a method to calculate the ultimate bearing capacity of soil, which is the maximum load per unit area that the soil can support without undergoing shear failure. The Calculation HTML Code included.
2. O. Adebimpe, J.O. Okoro, K.O. Dopamu, M.O. Oluwayemi, I.J. Adama and C.A. Onate
http://www.iaeme.com/IJCIET/index.asp 1012 editor@iaeme.com
years with different physical potential term [1-15] using various traditional methodologies such
as supersymmetry shape invariance and solvable potential [2, 4, 10, 16], asymptotic iteration
method [17-19], conventional and parametric Nikiforov-Uvarov method [5, 11, 13],
factorization method [14], shifted 1/N expansion method [20], exact/proper quantization
method [7-9], Formula method for bound state problem [21] and others. However, complete
information about the quantum systems can only be obtained by investigating scattering state
solutions of the relativistic and nonrelativistic wave equations with quantum mechanical
potential terms. Thus, the understandings of various knowledge about fine scale systems have
been gained by the examination of scattering and bound state of such systems. Therefore, the
study of scattering state becomes an interesting area in both the relativistic and nonrelativistic
regimes. Recently, Onyeaju et al., [22], studied scattering and bound states of the Klein Gordon
particles with Hylleraas potential within effective mass formalism, Oyewumi and Oluwadare
[23], investigated relativistic energies and scattering phase shifts for the fermionic particles
scattered by Hyperbolical potential with the Pseudo(spin) symmetry, Oluwadare and Oyewumi
[24, 25], obtained scattering states solutions of the Klein-Gordon equation with three physically
solvable potential models and scattering state solution of the Duffin-Kemmer-Petiau equation
with the varshni potential model. Ikot et al., [26], in their study, investigated scattering state of
Klein-Gordon particles by q-parameter Hyperbolic Pӧschl-Teller potential, Yazarloo et al.,
[27], obtained the relativistic scattering states of the Hellmann potential. In this study, we
intend to investigate the bound state solution of the Schrӧdinger equation in the framework of
asymptotic Iteration method (AIM) and the scattering phase shift of the modified Trigonometry
scarf type Potential which has not been reported yet. The modified Trigonometry scarf type
potential is given as
( )
( )( )2
0
2
22
4
,
1
r
r r
e
V r
be
V
e
α
α α
−
−
−
=
−
(1)
Where is the depth of the potential and characterized the range of the potential.
2. METHOD
In this section, we briefly outline the methodology of asymptotic iteration. AIM is proposed to
solve the homogenous linear second-order differential equation of the form [17, 18]
( ) ( )'' '
0 0( ) ( ) ( ),n n ny x x x S xy y xλ= +
(2)
Where 0 ( ) 0,xλ ≠ the prime denotes the derivative with respect to and is the radial
quantum number. The variables 0 ( )S x and 0 ( )xλ are sufficiently differentiable. The energy
equation of any Schrӧdinger-like equation is obtained by transforming the equation into the
form of Eq. (1) and then obtains the values of ( )k xλ and ( )kS x with 0k > as follows:
( ) 1
'
1 10( ) ( ) ( ) ( ),k k k kx x S x x xλ λλ λ− − −= + +
(3)
( )'
01 1( ) ( ) ( ).k k kS x S x S x xλ− −= +
(4)
With Eqs. (3) And (4), one can obtain the quantization condition
1 1
( ) ( )
( ) 0,
( ) ( )
k k
k
k k
x S x
x
x S x
λ
δ
λ − −
= =
, ,1,2, ,k −= − − (5)
3. Bound State And Scattering Phase Shift Of The Schrӧdinger Equation With Modified
Trigonometry Scarf Type Potential
http://www.iaeme.com/IJCIET/index.asp 1013 editor@iaeme.com
The energy eigenvalues are then obtained from Eq. (5) if the problem is exactly solvable.
A comprehensive/detail of the methodology can be found in Ref. [17] and [18].
3. BOUND STATE SOLUTIONS.
To obtain energy equation for the nonrelativistic wave equation of any quantum physical
system, we solve the original Schrӧdinger equation given in well-known textbooks [28, 29]
( ) , , , , ,
2
( ) ( ),
2
n m n n mr r E
p
V rψ ψ
µ
=
+ l l l
(6)
Where, ( )V r is the interacting potential, ,nE l is the nonrelativistic energy and , , ( )n m rψ l is
the wave function. Setting the wave function 1
, , , ,( ) ( ) ( , ),n m n mr U r Yrψ θ φ−
=l l l we obtain the
following radial Schrӧdinger equation with a centrifugal term
( )
2
,
2
,2 2
2 2 ( ) 1
( ) 0.n
n
E V rd
U r
dr r
µ µ−
+
−
+
=
l
l
l l
h
(7)
It is noted that Eq. (7) cannot be solved for 0=l due to the centrifugal barrier. Thus, we
must apply approximation scheme to deal with the centrifugal barrier [30]. For a short potential
range, the following approximation
( )
2 2
22 2
,
1 4
1
r
r
e
r e
α
α
α −
−
≈
−
(8)
Is a good approximation scheme to the centrifugal barrier for 1.rα Substituting Eqs. (1)
And (8) into Eq. (7) and by defining a variable of the form 2 r
y e α−
= , the second order
differential equation in Eq. (7) becomes
( )
2 2
22 2
0,
1
1
( )n
d By C
U y
y d
d
d y yy
Ay
y
+ +
−
+
+
=
l
(9)
Where
2
0
2 2 2
2
,
2
nE V
A
b
µ µ
α α
= +l
h h (10)
( )2 2
1 ,nE
B
µ
α
−
= − +l
l l
h (11)
2 2
.
2
nE
C
µ
α
= l
h (12)
In order to solve Eq. (10) using AIM, we need to transform the equation into the form of
Eq. (2). This makes us to write the physical wave function of the form
( ) ( ) ( ),1n y fy y yU
γυ
−=l
(13)
Where
4. O. Adebimpe, J.O. Okoro, K.O. Dopamu, M.O. Oluwayemi, I.J. Adama and C.A. Onate
http://www.iaeme.com/IJCIET/index.asp 1014 editor@iaeme.com
2 2
,
2
nEµ
υ
α
= − l
h (14)
( )
2
2 2
02
1 2 .
2 2
1 1 V
b
µ
γ
α
= + + −l
h (15)
Inserting Eq. (13) into Eq. (9), we have a second order homogeneous linear differential
equation as follow
( )
( ) ( )
( )
( )
( )
( )
( )
2
'' '12 1 2
1
2
0,
1
y
f yf f y
y y
B
y
y y
υ γυ υγ − + +
− =
− −
+ + +
+
(16)
Whose solution can be found by using asymptotic iteration method? Comparing Eq. (16)
with Eq. (2), we deduced the following
( ) ( )
( )0
2 12 1
,
1 yy
y υ
λ
υ γ + ++
−
=
−
(17)
( )
( )
2
0
2
1 y
B
S
y
υ γ +
=
−
+
. (18)
Using Eqs. (3), (4) and the quantization condition of Eq. (5), we can write the following
relations:
0 1 0 1 0 ,S S Aλ λ υ γ= ⇔ + −+ =
(19)
1 2 1 2 ,1S S Aλ λ υ γ+ −= + −⇔ = (20)
2 3 2 3 ,2S S Aλ λ υ γ+ −= + −⇔ = (21)
3 4 3 4 ,3S S Aλ λ υ γ+ −= + −⇔ = (22)
When the preceding expressions are generalized, the energy eigenvalues of the
nonrelativistic Schrӧdinger equation is obtained as
( )
( ) 0
22
2
2 2
0
2 22 2
2
2 2
02 8
1 2
2 8
1
1 1
2 2
1 1
2 2
2
n
V V
n
b b
E
V
n
b
µ µ
α αα
µ µ
α
+ + + + − = −
+ + + −
l
l
h hh
l
h
. (23)
4. SCATTERING PHASE SHIFT
In this section, we calculate the scattering phase shift of the potential under consideration. First,
we define 2
,1 r
z e α−
= − and after substituting Eqs. (1) And (8) into Eq. (7), we have
( ) ( )
2 2
2
2 2
1 1 0,( )n
Qd Pz R
z
d y
U z
dz
z
dz z
− −
− −
+
−
=+ l
(24)
5. Bound State And Scattering Phase Shift Of The Schrӧdinger Equation With Modified
Trigonometry Scarf Type Potential
http://www.iaeme.com/IJCIET/index.asp 1015 editor@iaeme.com
Where
( )2
0
2
2 2
2
1 ,
4
V k
P
b
µ
α α
= − − +l l
h (25)
( )2
0
2
4
1 ,
V
Q
b
µ
α
= − − +l l
h (26)
0
2 2
2
,
V
R
b
µ
α
=
h (27)
( ) 2
2
2
4 1 .nE
k
µ
α= − +l
l l
h (28)
k Is the asymptotic wave number. Now introducing a wave function of the form
( ) ( ) ( )2 ,1
ik
n z zU z f zγ α
−
−=l
(29)
And substituting it into Eq. (24), the following hypergeometric equation is obtained
( ) ( ) ( ) ( )
2
'' '
2 2 1 0.1
ik ik
z f zz z zPf fz γ
α α
γ γ
+ + +
− − + − − =
(30)
Thus, the radial wave function for any arbitrary ℓ − wave scattering states is given as
( ) ( )2 2
, , 2 11 ( ; ; ;1 ),ikrr r
n nU r N e e F e
γα α
ρ β σ− −
×= − −l l
(31)
Where
,
2
ik
Pρ γ
α
−= −
(32)
,
2
ik
Pβ γ
α
−= +
(33)
2 .σ γ= (34)
In order to completely determine the scattering phase shift by analyzing the asymptotic
behavior of the wave function, we consider a recurrence relation of the hyper geometric
function [25, 27]
( ) ( )
( ) ( )2 1 2 1( ; ; ; ) ( ; ;1 ;1 )F z F z
σ σ ρ β
σ ρ σ β
ρ β σ ρ β ρ β σ
− −
+ + − − +
− −
Γ Γ
=
Γ Γ
( )
( ) ( )
( ) ( ) 2 11 ( ; ; 1;1 ).z F z
σ ρ β ρ β σ
σ σ
σ
ρ
ρ σ β
β
ρ β
− − + −
−
Γ Γ
− − − + −
Γ
−
Γ
(35)
Now, using the property
2 1( ; ; ;0) 1,F ρ β σ = (36)
As r → ∞ and Eq. (35), we have
6. O. Adebimpe, J.O. Okoro, K.O. Dopamu, M.O. Oluwayemi, I.J. Adama and C.A. Onate
http://www.iaeme.com/IJCIET/index.asp 1016 editor@iaeme.com
( )
( )
( ) ( )
( )
( ) ( )
( )2
2 1 * *
2
( ; ; ;1 ) ,rr
F e e α σ ρ βα σ ρ β σ ρ β
σ σ
ρ β σ σ
ρ β ρ β
− − −− − − − −
− = Γ +
− Γ Γ−
Γ Γ
Γ Γ
(37)
Where we have used the following identities
( )
*
,
ik
ρ β σ ρ βσ
α
− − ==+ −
(38)
*
,
2
P
ik
β σ ρ γ
α
− = += +
(37)
*
.
2
P
ik
ρ σ β γ
α
− = −= +
(40)
Thus, as ,r → ∞ the asymptotic form of the wave function is obtain as
( )
( )
( ) ( ), ,( ) sin
2
.n nU r N kr
σ ρ β π
σ
σ ρ β
δ
σ
− −
× +Γ
−
Γ
=
Γ
+
− Γ
l l
(41)
Taking the boundary condition into consideration:
, ( ) 2
2
sin ,nU kr r
π
δ
∞ → − +
→ ∞ ⇒
l l
l
we obtain the phase shift as
( ) a1. 1 ar
2
57 ag g
2
1 rg r
ik
P
ik i
P
k
δ γ γ
α α α
− Γ + + − Γ + −
= + + Γ
l l
. (42)
Table 1: Bound state energy eigenvalues of the trigonometry scarf type potential at ground state as a
function of the screening parameter with 1,b = − 1.µ = =h
l α ( )0, 0 0.1E V =l ( )0, 0 0.2E V =l ( )0, 0 0.3E V =l
1
0.10
0.15
0.20
0.25
-0.019373129
-0.043589539
-0.077492514
-0.121082053
-0.018816093
-0.042353621
-0.075264373
-0.117600583
-0.018316896
-0.041213016
-0.073267584
-0.114480601
2
0.10
0.15
0.20
0.25
-0.044220071
-0.099495159
-0.176880283
-0.276375443
-0.043478196
-0.097825941
-0.173912785
-0.271738726
-0.042771490
-0.096235652
-0.171085960
-0.267321812
3
0.10
0.15
0.20
0.25
-0.079154603
-0.178097856
-0.316618411
-0.494716268
-0.078332032
-0.176247071
-0.313328127
-0.489575198
-0.077531332
-0.174445496
-0.310125327
-0.484570823
4
0.10
0.15
0.20
0.25
-0.124118768
-0.279267227
-0.496475071
-0.775742298
-0.123252577
-0.277318298
-0.493010307
-0.770328605
-0.122401031
-0.275402321
-0.489604125
-0.765006446
5 0.10 -0.179096281 -0.178203177 -0.177320496
7. Bound State And Scattering Phase Shift Of The Schrӧdinger Equation With Modified
Trigonometry Scarf Type Potential
http://www.iaeme.com/IJCIET/index.asp 1017 editor@iaeme.com
0.15
0.20
0.25
-0.402966633
-0.716385126
-1.119351759
-0.400957149
-0.712812709
-1.113769858
-0.398971115
-0.709281983
-1.108253098
Table 2: Bound state energy eigenvalues of the trigonometry scarf type potential as a function of the
angular quantum number with 1,b = − .50α = and 1.µ = =h
n l ( ), 0 0.1n VE =l ( ), 0 0.2n VE =l ( ), 0 0.3n VE =l
0 0 -0.125000000 -0.125000000 -0.125000000
1
0
1
-0.540118664
-1.125000000
-0.568595000
-0.125000000
-0.590904422
-1.125000000
2
0
1
2
-1.207260055
-2.016082289
-3.125000000
-1.268220746
-2.031100037
-3.125000000
-1.317564473
-2.045186861
-3.125000000
3
0
1
2
3
-2.124755271
-3.157286517
-4.509861462
-6.125000000
-2.219026093
-3.187657398
-4.519455720
-6.125000000
-2.296511497
-3.216341797
-4.528796699
-6.125000000
4
0
1
2
3
4
-3.292359946
-4.548539449
-6.144746541
-8.007090294
-10.12500000
-3.420214324
-4.594399927
-6.164003447
-8.014077448
-10.12500000
-3.526229489
-4.637893716
-6.182795132
-8.020964345
-10.12500000
5
0
1
2
3
4
5
-4.710009347
-6.189815593
-8.029644258
-10.13918800
-12.50553026
-15.12500000
-4.871563357
-6.251231481
-8.058600600
-10.15318412
-12.51101051
-15.12500000
-5.006278497
-6.309638074
-8.086902349
-10.16699354
-12.51644163
-15.12500000
5. CONCLUSIONS
The nonrelativistic bound states and scattering states of the Schrӧdinger equation in the
presence of trigonometry scarf type potential has been analyzed. As a result of the centrifugal
barrier, we have used a proper approximation scheme and the approximate bound states and
scattering states were obtained. Some numerical results were generated for the bound state as
shown in Tables 1 and 2. In Table 1, we presented numerical values of the ground state for the
energy equation given in equation (23) as a function of the screening parameter. Our result
reviewed that the eigenvalue decreases as the screening parameter and angular quantum
number respectively increases. However, as the potential depth increases, the eigenvalue
increases. In Table 2, it can be seen that at constant value of the screening parameter( )0.5α =
, the eigenvalue decreases as the quantum number n increases. Our result also reviewed here
that when ,n = l an increase in the value of the potential depth has no effect on the eigenvalue.
However, for all ,n = l the eigenvalues are the same to any decimal place. For a free particle,
the phase shifts would be zero. One could therefore say that the phase shift measures how far
the asymptotic solution of the scattering problem is displaced at the origin from the asymptotic
free solution.
8. O. Adebimpe, J.O. Okoro, K.O. Dopamu, M.O. Oluwayemi, I.J. Adama and C.A. Onate
http://www.iaeme.com/IJCIET/index.asp 1018 editor@iaeme.com
AUTHORS' DECLARATION.
There is no conflict of interest within the authors.
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