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量子力學原理

標籤:圖書

Review: `An excellent text....The postulates of quantum mechanics and the mathematical underpinnings are discussed in a clear, succint manner.' - American Scientist, from a review of the First Edition Book Description

1內容提要

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)
"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.
從第一版的評論: 「一個優秀的文本,假設的量子力學的數學基礎討論了一個清晰,簡潔的方式。」 (美國科學家) 「不管如何輕輕1介紹學生了狄拉克的胸罩和kets的概念,許多被打開關閉。尚卡爾攻擊的問題迎面在第一章中,並在一個很正規的風格表明,那裡是沒有什麼好害怕的。 「 (物理學公告) 「這種大規模的文本700頁和奇數頁確實是一個很好的開始,是非常口頭和表現,並廣泛合作calculational的細節---恰到好處的第一道菜。的風格是對話,更像是一個走廊說話或講義,但排列的文字......這將是特別有用的學生和量子化學等相關領域的開始。「 (數學評論) R.尚卡爾已經推出的重要補充和更新,主要介紹的量子力學原理「第二版。這種創新的文本的新功能包括一個完全重寫的數學介紹,時間反演不變性的討論,並廣泛覆蓋各種路徑積分及其應用。其他亮點包括: - 清晰,方便的治療,基礎數學 - 牛頓,拉格朗日和哈密爾頓力學 - 量子理論的理解,提高學生的數學定理單獨處理,物理假設 - 無與倫比的覆蓋路徑積分及其在當代物理學中的相關 先進的本科生和研究生水平的學生,量子力學原理(第二版)的所需文本充分參考和支持的許多練習和解決方案。這本書的章節也使其適用於獨立的研究和應用學科的課程。

2目錄

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 Harmonica 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
Appendix
ANSWERS TO SELECTED EXERCISES
TABLE OF CONSTANTS
INDEX
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