Statistical Mechanics: A Set of Lectures

Statistical Mechanics: A Set of Lectures

by Richard P. Feynman, Feynman
     
 

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ISBN-10: 0201360764

ISBN-13: 9780201360769

Pub. Date: 03/28/1998

Publisher: Westview Press


Physics, rather than mathematics, is the focus in this classic graduate lecture note volume on statistical mechanics and the physics of condensed matter. This book provides a concise introduction to basic concepts and a clear presentation of difficult topics, while challenging the student to reflect upon as yet unanswered questions.

Overview


Physics, rather than mathematics, is the focus in this classic graduate lecture note volume on statistical mechanics and the physics of condensed matter. This book provides a concise introduction to basic concepts and a clear presentation of difficult topics, while challenging the student to reflect upon as yet unanswered questions.

Product Details

ISBN-13:
9780201360769
Publisher:
Westview Press
Publication date:
03/28/1998
Series:
Advanced Book Classics Series
Edition description:
REV
Pages:
368
Product dimensions:
6.00(w) x 9.00(h) x (d)

Table of Contents

Editor's Foreword v(6)
Acknowledgments xi
Chapter 1 Introduction to Statistical Mechanics
1(38)
1.1 The Partition Function
1(38)
Chapter 2 Density Matrices
39(33)
2.1 Introduction to Density Matrices
39(5)
2.2 Additional Properties of the Density Matrix
44(3)
2.3 Density Matrix in Statistical Mechanics
47(1)
2.4 Density Matrix for a One-Dimensional Free Particle
48(1)
2.5 Linear Harmonic Oscillator
49(4)
2.6 Anharmonic Oscillator
53(5)
2.7 Wigner's Function
58(2)
2.8 Symmetrized Density Matrix for N Particles
60(4)
2.9 Density Submatrix
64(2)
2.10 Perturbation Expansion of the Density Matrix
66(1)
2.11 Proof that F is less than or equal to Fo + [H - Ho]o
67(5)
Chapter 3 Path Integrals
72(25)
3.1 Path Integral Formation of the Density Matrix
72(6)
3.2 Calculation of Path Integrals
78(6)
3.3 Path Integrals by Perturbation Expansion
84(2)
3.4 Variational Principle for the Path Integral
86(2)
3.5 An Application of the Variation Theorem
88(9)
Chapter 4 Classical System of N Particles
97(30)
4.1 Introduction
97(3)
4.2 The Second Virial Coefficient
100(5)
4.3 Mayer Cluster Expansion
105(6)
4.4 Radial Distribution Function
111(2)
4.5 Thermodynamic Functions
113(2)
4.6 The Born-Green Equation for n(2)
115(2)
4.7 One-Dimensional Gas
117(3)
4.8 One-Dimensional Gas with Potential of the Form e^(-|x|)
120(5)
4.9 Brief Discussion of Condensation
125(2)
Chapter 5 Order-Disorder Theory
127(24)
5.1 Introduction
127(3)
5.2 Order-Disorder in One-Dimension
130(1)
5.3 Approximate Methods for Two Dimensions
131(5)
5.4 The Onsager Problem
136(13)
5.5 Miscellaneous Comments
149(2)
Chapter 6 Creation and Annihilation Operators
151(47)
6.1 A Simple Mathematical Problem
151(3)
6.2 The Linear Harmonic Oscillator
154(2)
6.3 An Anharmonic Oscillator
156(1)
6.4 Systems of Harmonic Oscillators
157(2)
6.5 Phonons
159(3)
6.6 Field Quantization
162(5)
6.7 Systems of Indistinguishable Particles
167(9)
6.8 The Hamiltonian and Other Operators
176(7)
6.9 Ground State for a Fermion System
183(2)
6.10 Hamiltonian for a Phonon-Electron System
185(5)
6.11 Photon-Electron Interactions
190(2)
6.12 Feynman Diagrams
192(6)
Chapter 7 Spin Waves
198(23)
7.1 Spin-Spin Interactions
198(2)
7.2 The Pauli Spin Algebra
200(2)
7.3 Spin Wave in a Lattice
202(4)
7.4 Semiclassical Interpretation of Spin Wave
206(1)
7.5 Two Spin Waves
207(2)
7.6 Two Spin Waves (Rigorous Treatment)
209(3)
7.7 Scattering of Two Spin Waves
212(3)
7.8 Non-Orthogonality
215(2)
7.9 Operator Method
217(1)
7.10 Scattering of Spin Waves-Oscillator Analog
218(3)
Chapter 8 Polaron Problem
221(21)
8.1 Introduction
221(4)
8.2 Perturbation Treatment of the Polaron Problem
225(6)
8.3 Formulation for the Variational Treatment
231(3)
8.4 The Variational Treatment
234(7)
8.5 Effective Mass
241(1)
Chapter 9 Electron Gas in a Metal
242(23)
9.1 Introduction: The State Function XXX
242(2)
9.2 Sound Waves
244(2)
9.3 Calculation of P(R)
246(2)
9.4 Correlation Energy
248(1)
9.5 Plasma Oscillation
249(3)
9.6 Random Phase Approximation
252(2)
9.7 Variational Approach
254(1)
9.8 Correlation Energy and Feynman Diagrams
255(7)
9.9 Higher-Order Perturbation
262(3)
Chapter 10 Superconductivity
265(47)
10.1 Experimental Results and Early Theory
265(4)
10.2 Setting Up the Hamiltonian
269(4)
10.3 A Helpful Theorem
273(1)
10.4 Ground State of a Superconductor
274(3)
10.5 Ground State of a Superconductor (continued)
277(2)
10.6 Excitations
279(2)
10.7 Finite Temperatures
281(4)
10.8 Real Test of Existence of Pair States and Energy Gap
285(5)
10.9 Superconductor with Current
290(3)
10.10 Current Versus Field
293(5)
10.11 Current at a Finite Temperature
298(5)
10.12 Another Point of View
303(9)
Chapter 11 Superfluidity
312(39)
11.1 Introduction: Nature of Transition
312(7)
11.2 Superfluidity--An Early Approach
319(2)
11.3 Intuitive Derivation of Wave Functions: Ground State
321(5)
11.4 Phonons and Rotons
326(4)
11.5 Rotons
330(4)
11.6 Critical Velocity
334(1)
11.7 Irrotational Superfluid Flow
335(2)
11.8 Rotational of the Superfluid
337(2)
11.9 A Reasoning Leading to Vortex Lines
339(4)
11.10 The Lambda Transition in Liquid Helium
343(8)
Index 351

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