Mathematical Introduction.- Review of Classical Mechanics.- All Is Not Well With Classical Mechanics. The Postulates-A General Discussion.- Simple Problems in One Dimension.- The Classical Limit.- The Harmonic Oscillator.- The Path Integral Formulation of Quantum Theory.- The Heisenberg Uncertainty Relations.- Systems with N Degrees of Freedom.- Symmetries and Their Consequences.- Rotational Invariance and Angular Momentum.- The Hydrogen Atom.- Spin.- Addition of Angular Momenta.- Variational and WKB Methods.- Time-Independent Perturbation Theory.- Time-Dependent Perturbation Theory.- Scattering Theory.- The Dirac Equation.- Path Integrals-II.- Appendix.- Answers to Selected Exercises.- Table of Constants.- Index

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Reviews from the First Edition:

"An excellent text … The postulates of quantum mechanics and the mathematical underpinnings are discussed in a clear, succinct manner." (American Scientist)

"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." (Physics Bulletin)

Reviews of the Second Edition:

"This massive text of 700 and odd pages has indeed an excellent get-up, is very verbal and expressive, and has extensively worked out calculational details---all just right for a first course. The style is conversational, more like a corridor talk or lecture notes, though arranged as a text. … It would be particularly useful to beginning students and those in allied areas like quantum chemistry." (Mathematical Reviews)

- Clear, accessible treatment of underlying mathematics

- A review of Newtonian, Lagrangian, and Hamiltonian mechanics

- Student understanding of quantum theory is enhanced by separate treatment of mathematical theorems and physical postulates

- Unsurpassed coverage of path integrals and their relevance in contemporary physics

The requisite text for advanced undergraduate- and graduate-level students, Principles of Quantum Mechanics, Second Edition is fully referenced and is supported by many exercises and solutions. The book’s self-contained chapters also make it suitable for independent study as well as for courses in applied disciplines.

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