Principles of Quantum Mechanics

Principles of Quantum Mechanics is a textbook by Ramamurti Shankar. The book has been through two editions. It is used in many college courses around the world.

Contents

 * 1) Mathematical Introduction
 * 2) Review of Classical Mechanics
 * 3) All Is Not Well with Classical Mechanics
 * 4) The Postulates – a General Discussion
 * 5) Simple Problems in One Dimension
 * 6) The Classical Limit
 * 7) The Harmonic Oscillator
 * 8) The Path Integral Formulation of Quantum Theory
 * 9) The Heisenberg Uncertainty Relations
 * 10) Systems with $$N$$ Degrees of Freedom
 * 11) Symmetries and Their Consequences
 * 12) Rotational Invariance and Angular Momentum
 * 13) The Hydrogen Atom
 * 14) Spin
 * 15) Addition of Angular Momenta
 * 16) Variational and WKB Methods
 * 17) Time-Independent Perturbation Theory
 * 18) Time-Dependent Perturbation Theory
 * 19) Scattering Theory
 * 20) The Dirac Equation
 * 21) Path Integrals – II
 * 22) Appendix

Reviews
Physics Bulletin said about the book, "No matter how gently one introduces students to the concept of Dirac’s bras and kets, many are turned off. Shankar attacks the problem head-on in the first chapter, and in a very informal style suggests that there is nothing to be frightened of". American Scientist called it "An excellent text … The postulates of quantum mechanics and the mathematical underpinnings are discussed in a clear, succinct manner".