Solved problems in quantum and statistical mechanics

✍ Scribed by Michele Cini; Francesco Fucito; Mauro Sbragaglia

• Publisher: Springer
• Year: 2012
• Tongue: English
• Leaves: 406
• Series: Unitext
• Category: Library

✦ Synopsis

Part I. Theoretical Background -- Summary of Quantum and Statistical Mechanics -- Part II. Quantum Mechanics - Problems -- Formalism of Quantum Mechanics and One Dimensional Problems -- Angular Momentum and Spin -- Central Force Field -- Perturbation Theory and WKB Method -- Part III. Statistical Mechanics - Problems -- Thermodynamics and Microcanonical Ensemble -- Canonical Ensemble -- Grand Canonical Ensemble -- Kinetic Physics -- Bose-Einstein Gases -- Fermi-Dirac Gases -- Fluctuations and Complements

✦ Table of Contents

Solved Problems
in Quantum
and Statistical Mechanics......Page 3
Copyright Page
......Page 4
Preface......Page 5
Table of Contents
......Page 7
Part I
Theoretical Background......Page 9
1.1 One Dimensional Schr¨odinger Equation......Page 11
1.2 One Dimensional Harmonic Oscillator......Page 13
1.3 Variational Method......Page 14
1.4 Angular Momentum......Page 16
1.6 Hydrogen Atom......Page 18
1.7 Solutions of the Three Dimensional Schr¨odinger Equation......Page 20
1.8 WKB Method......Page 27
1.9 Perturbation Theory......Page 29
1.10 Thermodynamic Potentials......Page 31
1.11 Fundamentals of Ensemble Theory......Page 34
1.11.2 Canonical Ensemble......Page 36
1.11.4 Quantum Statistical Mechanics......Page 37
1.12 Kinetic Approach......Page 38
1.13 Fluctuations......Page 39
1.14 Mathematical Formulae......Page 40
References......Page 44
Part II
Quantum Mechanics – Problems......Page 45
2 Formalism of Quantum Mechanicsand One Dimensional Problems......Page 47
3 Angular Momentum and Spin......Page 121
4 Central Force Field......Page 153
5 Perturbation Theory and WKB Method......Page 171
Part III
Statistical Mechanics – Problems......Page 199
6 Thermodynamics and Microcanonical Ensemble......Page 201
7 Canonical Ensemble......Page 235
8 Grand Canonical Ensemble......Page 297
9 Kinetic Physics......Page 309
10 Bose-Einstein Gases......Page 323
11 Fermi-Dirac Gases......Page 345
12 Fluctuations and Complements......Page 371
Index......Page 401