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Topics in Quantum Mechanics Book

Topics in Quantum Mechanics
Topics in Quantum Mechanics, , Topics in Quantum Mechanics has a rating of 4 stars
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  • Topics in Quantum Mechanics
  • Written by author Birkhauser Boston Inc
  • Published by Birkhauser Verlag, January 2003
  • The theories of quantum fields and strings have had a fruitful impact on certain exciting developments in mathematics and have sparked mathematicians' interest in further understanding some of the basic elements of these grand physical theories. This self
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Preface
Acknowledgments
IIntroductory Concepts in Quantum Theory1
1Quantum Mechanics: Some Remarks and Themes7
2Equations of Motion in Classical Mechanics25
3Quantization and the Schrodinger Equation51
4Hypergeometric Equations and Special Functions81
5Hydrogen-like Atoms123
6Heisenberg's Uncertainty Principle157
7Group Representations and Selection Rules171
8The Quantized Hamiltonian for a Charged Particle in an Electromagnetic Field217
9Spin Wave Functions233
10Introduction to Multi-Electron Atoms253
IISome Selected Topics269
11Fresnel Integrals and Feynman Integrals271
12Path Integral for the Harmonic Oscillator291
13Euclidean Path Integrals299
14The Density Matrix and Partition Function in Quantum Statistical Mechanics307
15Zeta Regularization317
16Helmholtz Free Energy for Certain Negatively Curved Space-Times, and the Selberg Trace Formula321
17The Zeta Function of a Product of Laplace Operators and the Multiplicative Anomaly for X[subscript l][superscript d]333
18Schrodinger's Equation and Gauge Theory341
General Appendices359
App. ASome Further Electron Configurations361
App. BMendeleev Periodic Table365
App. CDeterminants for String World-Sheets That Are Tori: Another Example of Zeta Regularization369
App. DEvaluation of the Integral [actual symbol not reproducible]373
App. ESome Informal Comments on QFT379
References385
Index393


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