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Preface | ||
Acknowledgments | ||
I | Introductory Concepts in Quantum Theory | 1 |
1 | Quantum Mechanics: Some Remarks and Themes | 7 |
2 | Equations of Motion in Classical Mechanics | 25 |
3 | Quantization and the Schrodinger Equation | 51 |
4 | Hypergeometric Equations and Special Functions | 81 |
5 | Hydrogen-like Atoms | 123 |
6 | Heisenberg's Uncertainty Principle | 157 |
7 | Group Representations and Selection Rules | 171 |
8 | The Quantized Hamiltonian for a Charged Particle in an Electromagnetic Field | 217 |
9 | Spin Wave Functions | 233 |
10 | Introduction to Multi-Electron Atoms | 253 |
II | Some Selected Topics | 269 |
11 | Fresnel Integrals and Feynman Integrals | 271 |
12 | Path Integral for the Harmonic Oscillator | 291 |
13 | Euclidean Path Integrals | 299 |
14 | The Density Matrix and Partition Function in Quantum Statistical Mechanics | 307 |
15 | Zeta Regularization | 317 |
16 | Helmholtz Free Energy for Certain Negatively Curved Space-Times, and the Selberg Trace Formula | 321 |
17 | The Zeta Function of a Product of Laplace Operators and the Multiplicative Anomaly for X[subscript l][superscript d] | 333 |
18 | Schrodinger's Equation and Gauge Theory | 341 |
General Appendices | 359 | |
App. A | Some Further Electron Configurations | 361 |
App. B | Mendeleev Periodic Table | 365 |
App. C | Determinants for String World-Sheets That Are Tori: Another Example of Zeta Regularization | 369 |
App. D | Evaluation of the Integral [actual symbol not reproducible] | 373 |
App. E | Some Informal Comments on QFT | 379 |
References | 385 | |
Index | 393 |
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