Statistical Mechanics : a Set of Lectures

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Content: Cover Half Title Title Copyright Editorâ#x80 #x99 s Foreword CONTENTS Acknowledgments Chapter 1 Introduction to Statistical Mechanics 1.1 The Partition Function Chapter 2 Density Matrices 2.1 Introduction to Density Matrices 2.2 Additional Properties of the Density Matrix 2.3 Density Matrix in Statistical Mechanics 2.4 Density Matrix for a One-Dimensional Free Particle 2.5 Linear Harmonic Oscillator 2.6 Anharmonic Oscillator 2.7 Wignerâ#x80 #x99 s Function 2.8 Symmetrized Density Matrix for N Particles 2.9 Density Submatrix 2.10 Perturbation Expansion of the Density Matrix. 2.11 Proof that F â#x89 ¤ F0 + 0Chapter 3 Path Integrals 3.1 Path Integral Formation of the Density Matrix 3.2 Calculation of Path Integrals 3.3 Path Integrals by Perturbation Expansion 3.4 Variational Principle for the Path Integral 3.5 An Application of the Variation Theorem Chapter 4 Classical System of N Particles 4.1 Introduction 4.2 The Second Virial Coefficient 4.3 Mayer Cluster Expansion 4.4 Radial Distribution Function 4.5 Thermodynamic Functions 4.6 The Born-Green Equation for n2 4.7 One-Dimensional Gas 4.8 One-Dimensional Gas with Potential of the Form e-|x| 4.9 Brief Discussion of CondensationChapter 5 Order-Disorder Theory 5.1 Introduction 5.2 Order-Disorder in One-Dimension 5.3 Approximate Methods for Two Dimensions 5.4 The Onsager Problem 5.5 Miscellaneous Comments Chapter 6 Creation and Annihilation Operators 6.1 A Simple Mathematical Problem 6.2 The Linear Harmonic Oscillator 6.3 An Anharmonic Oscillator 6.4 Systems of Harmonic Oscillators 6.5 Phonons 6.6 Field Quantization 6.7 Systems of Indistinguishable Particles 6.8 The Hamiltonian and Other Operators 6.9 Ground State for a Fermion System. 6.10 Hamiltonian for a Phonon-Electron System6.11 Photon-Electron Interactions 6.12 Feynman Diagrams Chapter 7 Spin Waves 7.1 Spin-Spin Interactions 7.2 The Pauli Spin Algebra 7.3 Spin Wave in a Lattice 7.4 Semiclassical Interpretation of Spin Wave 7.5 Two Spin Waves 7.6 Two Spin Waves (Rigorous Treatment) 7.7 Scattering of Two Spin Waves 7.8 Non-Orthogonality 7.9 Operator Method 7.10 Scattering of Spin Waves-Oscillator Analog Chapter 8 Polaron Problem 8.1 Introduction 8.2 Perturbation Treatment of the Polaron Problem 8.3 Formulation for the Variational Treatment. 8.4 The Variational Treatment8.5 Effective Mass Chapter 9 Electron Gas in a Metal 9.1 Introduction: The State Function Ï#x86 9.2 Sound Waves 9.3 Calculation of P(R) 9.4 Correlation Energy 9.5 Plasma Oscillation 9.6 Random Phase Approximation 9.7 Variational Approach 9.8 Correlation Energy and Feynman Diagrams 9.9 Higher-Order Perturbation Chapter 10 Superconductivity 10.1 Experimental Results and Early Theory 10.2 Setting Up the Hamiltonian 10.3 A Helpful Theorem 10.4 Ground State of a Superconductor 10.5 Ground State of a Superconductor (continued) 10.6 Excitations.