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Topics in quantum mechanics

Author: Floyd L Williams
Publisher: Boston : Birkhäuser, ©2003.
Series: Progress in mathematical physics, v. 27.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

This self-contained text presents quantum mechanics from the point of view of some computational examples with a mixture of mathematical clarity often not found in texts offering only a purely  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Floyd L Williams
ISBN: 0817643117 9780817643119 3764343117 9783764343118
OCLC Number: 50912550
Description: xv, 396 pages : illustrations ; 25 cm.
Contents: I. Introductory Concepts in Quantum Theory --
1. Quantum Mechanics: Some Remarks and Themes --
2. Equations of Motion in Classical Mechanics --
3. Quantization and the Schrodinger Equation --
4. Hypergeometric Equations and Special Functions --
5. Hydrogen-like Atoms --
6. Heisenberg's Uncertainty Principle --
7. Group Representations and Selection Rules --
8. The Quantized Hamiltonian for a Charged Particle in an Electromagnetic Field --
9. Spin Wave Functions --
10. Introduction to Multi-Electron Atoms --
II. Some Selected Topics --
11. Fresnel Integrals and Feynman Integrals --
12. Path Integral for the Harmonic Oscillator --
13. Euclidean Path Integrals --
14. The Density Matrix and Partition Function in Quantum Statistical Mechanics --
15. Zeta Regularization --
16. Helmholtz Free Energy for Certain Negatively Curved Space-Times, and the Selberg Trace Formula --
17. The Zeta Function of a Product of Laplace Operators and the Multiplicative Anomaly for X[subscript l][superscript d] --
18. Schrodinger's Equation and Gauge Theory / Patrick Shanahan --
App. A. Some Further Electron Configurations --
App. B. Mendeleev Periodic Table --
App. C. Determinants for String World-Sheets That Are Tori: Another Example of Zeta Regularization --
App. D. Evaluation of the Integral [actual symbol not reproducible] --
App. E. Some Informal Comments on QFT.
Series Title: Progress in mathematical physics, v. 27.
Responsibility: Floyd Williams.
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". . . a number of interesting and classical applications (some involving detailed computations) are included. Most of the book is dedicated to covering the traditional material but there are also Read more...

 
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