Lectures on Quantum Mechanics

Contents: 1. Review of Classical Mechanics. 2. Review of Essential Mathematics. 3. Basics of Quantum Mechanics. 4. Simple Applications of Schrodinger Equation. 5. Harmonic Oscillator. 6. Symmetries and Their Consequences. 7. Angular Momentum. 8. Schrodinger Equation in Higher Dimensions. 9. Hydrogen Atom. 10. Approximate Methods. 11. WKB Approximation. 12. Stationary Perturbation Theory. 13. Time Dependent Perturbation Theory. 14. Spin. 15. Scattering Theory. 16. Relativistic One Particle Equations. 17. Path Integral Quantum Mechanics.

This set of lecture notes on quantum mechanics aims to teach, in a simple and straightforward manner, the basic theory behind the subject. Examples are drawn from all fields of physics to provide both background as well as context.

The book, which is self-contained, includes a review of classical mechanics as well as some of the necessary mathematics. Both the standard fare of quantum mechanics texts the harmonicoscillator, the hydrogen atom, angular momentum as well as topics such as symmetry with a discussion of periodic potentials, the relativistic electron, spin and scattering theory are covered. Approximation methods are discussed with a view to applications; these include stationary perturbation theory, the WKB approximation, time dependent perturbations and the variational principle. Together, the seventeen chapters provide a very comprehensive introduction to quantum mechanics. Selected problems are collected at the end of each chapter in addition to the numerous exercises sprinkled throughout the text.

The book is written in a simple and elegant style, and is characterised by clarity, depth and excellent pedagogical organization.