最 低 价：￥383.40
定 价：￥451.00
作 者：GiuseppeMorandi，E. Ercolessi，F. Napoli 著 著
出 版 社：Penguin
出版时间：2001-12-1
I S B N：9789810244774
| Preface Chapter 1 Thermodynamics 1.1 A Recollection of Basic Notions in Classical Thermodynamics 1.1.1 The Fundamental Equation of Thermodynamics 1.2 Thermodynamic Potentials, ...Stability Conditions 1.3 A Mathematical Digression: Integrating Factors and 1A An Exercise in the Use of the Gibbs-Duhem Relation: the Ideal Monoatomic Gas 1B Thermodynamics of Paramagnetic Bodies 1C Some Relations on Partial Derivatives & Jacobians 1D A Digression on: Integrability Conditions Problems Chapter 2 Equilibrium Classical Statistical Mechanics 2.1 Foundations of Classical Statistical Mechanics 2.1.1 A resume of Hamiltonian Dynamics 2.1.2 Canonical Transformations 2.1.3 The Heisenberg and Schr5dinger Pictures in Classical Dynamics 2.1.4 Integrable Dynamical Systems and Perturbations 2.1.5 The Ergodic Hypothesis and the Foundations of Classical Statistical Mechanics 2.2 Statistical Ensembles in CSM: Micro-canonical Ensemble 2.2.1 The Entropy Function 2.3 Statistical Ensembles in CSM: Canonical and Grand-Canonical Ensembles 2.3.1 The Canonical Ensemble 2.3.2 The Grand-Canonical Ensemble 2.3.3 Some Applications 2.3.4 General Remarks 2.4 Response, Correlations and Fluctuations: I Classical 2.4.1 Symmetry Properties of Correlation Fhnctions 2.4.2 Fourier Transforms of Correlation Functions 2.4.3 Generating Functionals and Static Generalized Suscep-tibilities 2.4.4 Linear Response Theory 2.4.5 The Classical Fluctuation-Dissipation Theorem 2A Harmonic Oscillators & Ergodicity 2B The Volume Phase Space for a Perfect Gas 2C Density-Density Correlation Function of a Perfect Gas Problems Chapter 3 Spin Hamiltonians Ⅰ: Classical 3.1 Spin Hamiltonians 3.2 Gaussian Identities for Spin Hamiltonians 3.3 Mean Field Theory and Phase Transitions 3.3.1 MFA for Ising Model 3.3.2 MFA for Heisenberg Model 3.4 Linearized Spin Dynamics: Spin Waves, Response and Correla- tions 3.5 SSB, Goldstone and Mermin-Wagner Theorems 3.5.1 The Goldstone Theorem 3.5.2 The Mermin-Wagner Theorem 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 Chapter 4 Equilibrium Quantum Statistical Mechanics 4.1 Resume of Quantum Mechanics …… Chapter 5 Identical Particles in Quantum Statistical Me-chanics Chapter 6 Spin Hamiltonians Ⅱ：Quantum Chapter 7 Phase Transitions and Critical Phenomena Chapter 8 Model Systems,Scaling Laws and Mean Field Theories Chapter 9 Superconductivity & Superfluidity Chapter 10 The Renormalization Group and Critical Phe-nomena Appendix A Mathematical Digression Ⅰ:Differentiable Man-ifolds and Exterior Calculus Appendix B Mathematical Digression Ⅱ:Some Mathematics of Hilbert Spaces. Appendix C Linear Stability Theory. Appendix D Eigenvalue and Eigenvector Problems for Non-Symmetric Matrices Bibliography Index |
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