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统计力学 第2版 英文版 Morandi,G.等 著 2005年版

统计力学 第2版 英文版  

作者:Morandi,G.等 著  

出版时间:2005年版 

内容简介 

  This is the second,revised and enlarged edition of a book on Statistical Mechanics whose first edition appeared in the year 1995.No doubt there ate many excellent books on Statistical Mechanics,ranging from classical ones (like Tolman\’s [152],Schrodinger\’s[132]and LandauLifshitz\’s[83],e.g.)to more modern ones.A partial list of them is contained in the Bibliography listed at the end of the book.……此书为英文版。 

目录 

Preface 

Chapter1 Thermodynamics 

1.1 A Recollection of Basic Notions in CLassical Thermodynamics 

1.2 Thermodynamic Potentials,Stability Conditions 

1.3 A Mathematical Digression:Integrating Factors and 

1A Thermodynamics of Paramagnetic Bodies 

1C Some Relations on Partial Derivatives & Jacoblans 

1D A Digression on:Integrability Conditions 

Problems 

Chapter2 Equilibrium Classical Statistical Mechanics 

2.1 Foundations of Classical Statistical Mechanics 

2.2 Statistical Ensembles in CSM:Micro-canonical Ensemble 

2.3 Statistical Ensembles in CSM:Canonical and Grand-Canonial Ensembles 

2.4 Response,Correlations and Fluctuations:I Classical 

2A Harmonic Oscillators &Ergodicity 

2B The Volume Phase Space for a Perfect Gas 

2C Density-Density Correlation Function of a Perfect Gas 

Problems 

Chapter3 Spin Hamiltonians I:Classical 

3.1 Spin Hamiltonians 

3.2 Gaussian Identities for Spin Hamiltonians 

3.3 Mean Field Theory and Phase Transitions 

3.4 Linearized Spin ynamics:Spin Waves,Response and Correla-tions 

3.5 SSE,Goldstone and Mermin-Wagner Theorems 

3A Poisson Description of Spin Dynamics 

3B Perturbation expansions and the Classical Analogue of Wick s Theorem 

3C \”\”Conventional\”\”Mean Field Theory 

3D Some Group-Theoretical Aspects Related to SSB 

Problems 

Chapter4 Equilibrium Quantum Statistical Mechanics 

4.1 Resume of Quantum Mechanics 

4.2 Foundations of Quantum Statistical Mechanics:Ensembles 

4.3 Response,Correlations and FluctuationsII:Quantum 

4A Two-level Systems 

Chapter5 Identical Particles in Quantum Statistical Me-chanics 

5.1 Statistics and Identical Particles in QSM 

5.2 Fock Spaces & Second Quantization 

5.3 Quantum Gases and Beyond 

Prolems 

Chapter6 Spin Hamiltonians II:Quantum 

6.1 The Heisenberg Model Hamiltonian 

6.2 Partition Function and Path Integrals 

6.3 Mean-Field Approximations and SSB:ferro and Antiferro Mag-netism 

Problems 

Chapter7 Phase Transitions and Critical Phenomena 

7.1 Introduction to Phase Transitions 

…… 

Chapter8 Model Systems,Scaling Laws and Mean Field 

Chapter9 Superfluids and Superfluidity 

Chapter10 The Renormalizaton Group and Critical Phenomena 

AppendixA Mathematical DigressionⅠ:Differentiable Manifolds and Exteror Calculus 

AppendixB Mathematical DigressionⅡ:Some Mathematics of Hilbert Spaces 

AppendixC Linear Stability Theory 

AppendixD Eigenvalue and Eigenvector Problems for NonSymmetric Matrices 

Bibliography 

Index 

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