Chapter 1 Fundamental Principles 1.1 Introduction: The Characters of Thermodynamics and Statistical Physics and Their Relationship 1.2 Basic Thermodynamic Identities 1.3 Fundamental Principles and Conclusions of Classical Statistics 1.3.1 Microscopic and Macroscopic Descriptions, Statistical Distribution Functions 1.3.2 Liouville Theorem 1.3.3 Statistical Independence 1.3.4 Microscopical Canonical, Canonical and Grand Canonical Ensembles 1.4 Boltzmann Gas 1.5 Density Matrix 1.5.1 Density Matrix 1.5.2 Some General Properties of the Density Matrix 1.6 Liouville Theorem in Quantum Statistics 1.7 Canonical Ensemble 1.8 Grand Canonical Ensemble 1.8.1 Fundamental Expression of the Grand Canonical Ensemble 1.8.2 Derivation of the Fundamental Thermodynamic Identity 1.9 Probability Distribution and Slater Sum 1.9.1 Meaning of the Diagonal Elements of the Density Matrix 1.9.2 Slater Summation 1.9.3 Example : Probability of the Harmonic Ensemble 1.10 Theory of the Reduced Density MatrixChapter 2 The Perfect Gas in Quantum Statistics 2.1 Indistinguishability Principle for Identical Particles 2.2 Bose Distribution and Fermi Distribution 2.2.1 Perfect Gases in Quantum Statistics 2.2.2 Bose Distribution 2.2.3 Fermi Distribution 2.2.4 Comparison of Three Distributions;Gibbs Paradox Again ……Chapter 3 Second Quantization and Model HamiltoniansChapter 4 Least Action Principle, Field Quantization and the Electron-Phonon SystemChapter 5 Bose-Einstein CondensationChapter 6 Some Inverse Problems in Quanturn StatistiesChapter 7 An Introduction to Theory of Green's FunctionsChapter 8 A Unified Diagonalization Theorem for Quadratic HamiltonianChapter 9 Functional Integral Approach: A Third Formulation of Quantum Statistical MechanicsReferencesIndex
· · · · · · (收起)