统计力学
2004-4
世图
G.Morandi F.Napoli E.Ercolessi
648
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PrefaceChapter1 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 ProblemsChapter2 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 ProblemsChapter3 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 ProblemsChapter4 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 SystemsChapter5 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 ProlemsChapter6 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 ProblemsChapter7 Phase Transitions and Critical Phenomena 7.1 Introduction to Phase Transitions ……Chapter8 Model Systems,Scaling Laws and Mean FieldChapter9 Superfluids and SuperfluidityChapter10 The Renormalizaton Group and Critical PhenomenaAppendixA Mathematical DigressionⅠ:Differentiable Manifolds and Exteror CalculusAppendixB Mathematical DigressionⅡ:Some Mathematics of Hilbert SpacesAppendixC Linear Stability TheoryAppendixD Eigenvalue and Eigenvector Problems for NonSymmetric MatricesBibliographyIndex
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。
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这本书是用一种很不同的方式讲统计力学的,试图将它建立在更严密的数学基础之上.所以,使用了很多现代数学的内容.但是,似乎物理的核心有些被数学淹没.而且,对于对现代数学不熟悉的会很难读