Principles of Quantum Mechanics

Principles of Quantum Mechanics by R. Shankar is a comprehensive text published by Springer on August 31, 1994. This second edition spans 676 pages and is presented in English. The book introduces significant updates and additions, including a rewritten mathematical introduction and discussions on Time-reversal invariance, while providing extensive coverage of path integrals and their applications.
Readers will find a clear and accessible treatment of the underlying mathematics, alongside a review of Newtonian, Lagrangian, and Hamiltonian mechanics. The text enhances student understanding of quantum theory by separating mathematical theorems from physical postulates. Designed for advanced undergraduate and graduate students, this edition includes numerous exercises and solutions, making it suitable for both coursework and independent study in fields such as physics and quantum theory.
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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)
R. Shankar has introduced major additions and updated key presentations in this second edition of Principles of Quantum Mechanics. New features of this innovative text include an entirely rewritten mathematical introduction, a discussion of Time-reversal invariance, and extensive coverage of a variety of path integrals and their applications. Additional highlights include:
– 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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