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Contents
Front Matter
Introduction
1.
Origin of Quantum Mechanics—Inadequacy of Classical Laws of Mechanics and Electromagnetic Radiation
2.
Origin of Quantum Mechanics II- Inadequacy of Classical Laws of Mechanics
3.
Wave Particle Duality in Young’s double slit Experiment & its Quantum Mechanical interpretation
4.
Wave packet associated with a ( quantum) Particle
5.
Heisenberg’s Uncertainty Principle
6.
Time dependent Schrodinger equation, Conservation of Probability and Continuity equation
7.
Expectation values, Operators and Ehrenfest Theorem
8.
Time independent Schrodinger equation, Stationary States & Energy Spectra
9.
Particle in Square Well Potential and Potential Barrier
10.
Multiple Potential Wells: Splitting of Energy Levels; Energy Bands
11.
Basic Postulates of Wave Mechanics
12.
Expansion in Eigen-functions, Ortho-normality, Degeneracy & Commuting Observables
13.
Generalized Uncertainty Principle
14.
Harmonic Oscillator in Schrodinger PictureI
15.
Linear Harmonic Oscillator by Operator Method
16.
Orbital Angular Momentum
17.
Orbital Angular Momentum II
18.
General Treatment of Angular Momentum
19.
Addition of Two Angular Momenta & Clebsch-Gordon Coefficients
20.
Coupling of Angular Momenta & Selection Rules
21.
Properties of Clebsch-Gordon Coefficients
22.
The Schrodinger equation in three dimensions
23.
Schrodinger equation in spherical polar coordinates for Central potentials
24.
Three-dimensional Square-well Potential in Spherical coordinates
25.
The Hydrogen Atom
26.
Stationary State Wave Functions of Hydrogen Atom
27.
Time-independent perturbation theory for a nondegenerate energy level
28.
Application of Perturbation Theory to a few Problems
29.
Degenerate Perturbation Theory
30.
Examples Illustrating use of Degenerate Perturbation Theory
Back Matter
Appendix
Quantum Mechanics I
15
Linear Harmonic Oscillator by Operator Method
Prof. V.S. Bhasin
