Reviews from the First Edition: "An excellent text β¦ 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 Diracβs bras and kets, many are t
Principles of Quantum Mechanics
β Scribed by R. Shankar
- Publisher
- Springer
- Year
- 1994
- Tongue
- English
- Leaves
- 694
- Edition
- 2
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
Reviews from the First Edition: "An excellent text β¦ 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 Diracβs 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. β¦ It would be particularly useful to beginning students and those in allied areas like quantum chemistry." (Mathematical Reviews) Β 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 bookβs self-contained chapters also make it suitable for independent study as well as for courses in applied disciplines.
β¦ Table of Contents
Preface to the First Edition......Page 9
Prelude......Page 13
Contents......Page 15
01. Mathematical
Introduction......Page 19
02.
Review of Classical Mechanics......Page 93
03.
All Is Not Well with Classical Mechanics......Page 125
04.
The Postulates - a General Discussion......Page 133
05.
Simple Problems in One Dimension......Page 169
06.
The Classical Limit......Page 197
07.
The Harmonic Oscillator......Page 203
08.
The Path Integral Formulation of Quantum Theory......Page 241
09.
The Heisenberg Uncertainty Relations......Page 255
10.Systems with N Degrees
of Freedom......Page 265
11.Symmetries and
Their Consequences......Page 297
12.
Rotational Invarianceand Angular Momentum......Page 323
13.
The Hydrogen Atom......Page 371
14.
Spin......Page 391
15.
Addition of Angular Momenta......Page 421
16.
The Variational and WKB Methods......Page 447
17.Time-Independent
Perturbation Theory......Page 469
18.Time-Dependent
Perturbation Theory......Page 491
19.
Scattering Theory......Page 541
20.
The Dirac Equation......Page 581
21.Path Integrals: Part II
......Page 599
A.1. Matrix Inversion......Page 673
A.2. Gaussian Integrals......Page 677
A.3. Complex Numbers......Page 678
Answers to Selected Exercises......Page 683
Table of Constants......Page 687
Index......Page 689
π SIMILAR VOLUMES
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
Publish and perish-Giordano Bruno Given the number of books that already exist on the subject of quantum mechanics, one would think that the public needs one more as much as it does, say, the latest version of the Table of Integers. But this does not deter me (as it didn't my predecessors) from tryi
Reviews from the First Edition:<br /><br />"An excellent text ... The postulates of quantum mechanics and the mathematical underpinnings are discussed in a clear, succinct manner." (American Scientist)<br /><br />"No matter how gently one introduces students to the concept of Dirac's bras and kets,