The document discusses the Schrodinger equation, which is a partial differential equation that uses the concepts of energy conservation and kinetic and potential energy to describe the behavior of electrons bound to an atom's nucleus. It has both time-dependent and time-independent forms. The time-dependent equation describes how a quantum system evolves over time, while the time-independent equation predicts stationary states. The Schrodinger equation is widely used in physics and chemistry to study atomic structure and find allowed energy levels of quantum systems.

1. University of Halabja
College Of Science
Department Of Physics
3rd Stage
[Schrodinger equation]
Prepared by : Supervised :
Shene Aziz Mr.Yousif Hussein
Gyabnd qubad

2. Outline
• Introduction
• Definition
• Type
• Time Depend
• Time Independent
• Property
• Application
• Reference

4. Definition of Schrodinger Equation
The Schrödinger equation, sometimes called the
Schrödinger wave equation, is a partial differential
equation. It uses the concept of energy conservation
(Kinetic Energy + Potential Energy = Total Energy) to
obtain information about the behavior of an electron
bound to a nucleus.

6. Time Depend
The form of the Schrödinger equation depends on
the physical situation. The most general form is the
time-dependent Schrödinger equation, which gives
a description of a system evolving with time.

7. Time Independent of Schrodinger Equation
The time-dependent Schrödinger equation described above
predicts that wave functions can form standing waves,
called stationary states.

8. Property
Linearity
Probability
current
Unitary
Separation of
Variable

9. Application
• Schrodingar equation is widely used in chemistry
and physics to solve problems based on the
atomic structure of matter.
• Helps in studying the structure of the atom
• Schrodinger equation is used to find the allowed
energy level of quantum mechanical systems.

10. https://www.uou.ac.in/lecturenotes/science/MSCPHY-
17/PHy502unit14-15,.pdf
Shankar, R. (1994). Principles of Quantum Mechanics
(2nd ed.). Kluwer Academic/Plenum Publishers. ISBN
978-0-306-44790-7.
Rieffel, Eleanor G.; Polak, Wolfgang H. (4 March 2011).
Quantum Computing: A Gentle Introduction. MIT
Press. ISBN 978-0-262-01506-6This reference is used
twice on this page