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Quantum
Mechanics
(Engineering Physics Unit-II, As per
RTU Kota Syllabus )
By
Dr. Vishal Jain
Associate Professor
Geetanjali Institute of Technical Studies
Udaipur Rajasthan
TOC
Introduction to quantum Mechanics
Wave-particle duality, Matter waves
Wave function and basic postulates
Schrodinger’s Wave Equation
Applications of the Schrodinger’s Equation (1D, 3D box)
Degeneracy
Physical Interpretation of Wave Function
Normalization and Orthogonalization of Wave Function
Introduction to quantum Mechanics
01 Quantum mechanics (QM; also known as quantum physics, quantum theory, the wave
mechanical model and matrix mechanics), including quantum field theory, is a fundamental
theory in physics. It describes advanced properties of nature on an atomic scale.
02 Classical physics, the description of physics that existed before the theory of relativity and
quantum mechanics, describes many aspects of nature at an ordinary (macroscopic) scale,
while quantum mechanics explains the aspects of nature at small (atomic and subatomic)
scales, for which classical mechanics is insufficient.
03 The foundations of quantum mechanics were established during the first half of the 20th
century by Max Planck, Niels Bohr, Werner Heisenberg, Louis de Broglie, Arthur Compton,
Albert Einstein, Erwin Schrödinger, Max Born, John von Neumann, Paul Dirac, Enrico Fermi,
Wolfgang Pauli, Max von Laue, Freeman Dyson, David Hilbert, Wilhelm Wien, Satyendra Nath
Bose, Arnold Sommerfeld, and others.
Overview
Wave-particle duality, Matter waves
Wave-particle duality, Matter waves
Does All Matter Exhibit Wave-like Properties?
All matter exhibits wave-like properties and relates the observed
wavelength of matter to its momentum.
All material particles in motion shows a wave character these waves are
called “Matter Waves” or “De Broglie Waves”
De Broglie Hypothesis
Wave function and basic postulates
The varying quantity characterizing the matter waves it denoted by at a point i.e. the
quantity whose variation makes up matter waves in known as wave function
Physical Interpretations of Wave Function
Wave function is a complex quantity so it has no physical meaning and can be expressed in form of complex
quantity
Normalization and Orthogonalization of Wave Function
Orthogonalization
Normalization
Thank you!
Hope they all alive
@parallel Universe
The 1927 Solvay Conference in Brussels was the fifth world physics conference

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Quantum Mechanics Engineering Physics Unit-II RTU Kota

  • 1. Quantum Mechanics (Engineering Physics Unit-II, As per RTU Kota Syllabus ) By Dr. Vishal Jain Associate Professor Geetanjali Institute of Technical Studies Udaipur Rajasthan
  • 2. TOC Introduction to quantum Mechanics Wave-particle duality, Matter waves Wave function and basic postulates Schrodinger’s Wave Equation Applications of the Schrodinger’s Equation (1D, 3D box) Degeneracy Physical Interpretation of Wave Function Normalization and Orthogonalization of Wave Function
  • 3. Introduction to quantum Mechanics 01 Quantum mechanics (QM; also known as quantum physics, quantum theory, the wave mechanical model and matrix mechanics), including quantum field theory, is a fundamental theory in physics. It describes advanced properties of nature on an atomic scale. 02 Classical physics, the description of physics that existed before the theory of relativity and quantum mechanics, describes many aspects of nature at an ordinary (macroscopic) scale, while quantum mechanics explains the aspects of nature at small (atomic and subatomic) scales, for which classical mechanics is insufficient. 03 The foundations of quantum mechanics were established during the first half of the 20th century by Max Planck, Niels Bohr, Werner Heisenberg, Louis de Broglie, Arthur Compton, Albert Einstein, Erwin Schrödinger, Max Born, John von Neumann, Paul Dirac, Enrico Fermi, Wolfgang Pauli, Max von Laue, Freeman Dyson, David Hilbert, Wilhelm Wien, Satyendra Nath Bose, Arnold Sommerfeld, and others.
  • 6. Wave-particle duality, Matter waves Does All Matter Exhibit Wave-like Properties? All matter exhibits wave-like properties and relates the observed wavelength of matter to its momentum. All material particles in motion shows a wave character these waves are called “Matter Waves” or “De Broglie Waves” De Broglie Hypothesis
  • 7. Wave function and basic postulates The varying quantity characterizing the matter waves it denoted by at a point i.e. the quantity whose variation makes up matter waves in known as wave function
  • 8. Physical Interpretations of Wave Function Wave function is a complex quantity so it has no physical meaning and can be expressed in form of complex quantity
  • 9. Normalization and Orthogonalization of Wave Function Orthogonalization Normalization
  • 10. Thank you! Hope they all alive @parallel Universe The 1927 Solvay Conference in Brussels was the fifth world physics conference