Akhiezer / Peletminskii / Ter Haar Methods of Statistical Physics

International Series in Natural Philosophy
1. Auflage 2013
ISBN: 978-1-4831-8937-6
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 446 Seiten, Web PDF

Methods of Statistical Physics is an exposition of the tools of statistical mechanics, which evaluates the kinetic equations of classical and quantized systems. The book also analyzes the equations of macroscopic physics, such as the equations of hydrodynamics for normal and superfluid liquids and macroscopic electrodynamics. The text gives particular attention to the study of quantum systems. This study begins with a discussion of problems of quantum statistics with a detailed description of the basics of quantum mechanics along with the theory of measurement. An analysis of the asymptotic behavior of universal quantities is also explained. Strong consideration is given to the systems with spontaneously broken system. Theories such as the kinetic theory of gases, the theory of Brownian motion, the theory of the slowing down of neutrons, and the theory of transport phenomena in crystals are discussed. The book will be a useful tool for physicists, mathematicians, students, and researchers in the field of statistical mechanics.

Autoren/Hrsg.

Akhiezer, A. I.

Peletminskii, S. V.

Ter Haar, D.

Inhaltsverzeichnis

1;Front Cover;1
2;Methods of Statistical Physics;4
3;Copyright Page;5
4;Table of Contents;12
5;Foreword;6
6;Preface;8
7;CHAPTER 1. Kinetic Equations for Classical Systems;18
7.1;1.1. MANY-PARTICLE DISTRIBUTION FUNCTIONS;18
7.2;1.2. INTEGRAL EQUATIONS FOR MANY-PARTICLE DISTRIBUTION FUNCTIONS;28
7.3;1.3. KINETIC EQUATIONS AND TRANSPORT PHENOMENA IN GASES;35
7.4;1.4. KINETIC EQUATIONS FOR PARTICLES INTERACTING WITH A MEDIUM;46
7.5;1.5. STATISTICAL MECHANICS OF A SYSTEM OF CHARGED PARTICLES;66
7.6;1.6. IRREVERSIBILITY OF MACROSCOPIC PROCESSES AND THE ERGODIC HYPOTHESIS;80
8;CHAPTER 2. General Principles of the Statistical Mechanics of Quantum Systems;94
8.1;2.1. PRINCIPLES OF QUANTUM MECHANICS;94
8.2;2.2. SECOND QUANTIZATION;107
8.3;2.3. SYMMETRY OF EQUATIONS OF QUANTUM MECHANICS;120
8.4;2.4. THE PRINCIPLE OF ATTENUATION OF CORRELATIONS AND ERGODIC RELATIONS FOR QUANTUM SYSTEMS;133
9;CHAPTER 3. Theory of Equilibrium States of Quantum Systems;149
9.1;3.1. THEORY OF WEAKLY NON-IDEAL QUANTUM GASES;149
9.2;3.2. SUPERFLUIDITY OF A GAS OF BOSONS OR FERMIONS;166
10;CHAPTER 4. Methods of Investigating Non-Equilibrium States of Quantum Systems;196
10.1;4.1. THE REACTION OF A SYSTEM TO AN EXTERNAL PERTURBATION;196
10.2;4.2. GENERAL THEORY OF RELAXATION PROCESSES;207
10.3;4.3. SUMMATION OF SECULAR TERMS;232
10.4;4.4. THE LOW FREQUENCY ASYMPTOTICS OF THE GREEN FUNCTIONS;248
11;CHAPTER 5. Kinetic Equations for Quantum Systems;263
11.1;5.1. KINETIC EQUATIONS IN THE CASE OF WEAK INTERACTIONS;263
11.2;5.2. KINETIC EQUATIONS TAKING PAIR COLLISIONS INTO ACCOUNT;304
11.3;5.3. KINETIC EQUATIONS FOR PARTICLES AND RADIATION INTERACTING WITH AN EXTERNAL MEDIUM;316
11.4;5.4. KINETIC EQUATIONS FOR PARTICLES IN AN EXTERNAL FIELD AND GREEN FUNCTIONS IN THE KINETIC APPROXIMATION;329
11.5;5.5. THE COLLISION INTEGRAL FOR PHONONS AND THE THEORY OF THE THERMAL CONDUCTIVITY OF DIELECTRICS;382
12;CHAPTER 6. Equations of Macroscopic Physics;389
12.1;6.1. HYDRODYNAMIC EQUATIONS FOR A NORMAL LIQUID;389
12.2;6.2. HYDRODYNAMIC EQUATIONS OF A SUPERFLUID LIQUID;408
12.3;6.3. MACROSCOPIC ELECTRODYNAMIC EQUATIONS;431
13;Bibliography;453
14;Index;459
15;OTHER TITLES IN THE SERIES IN NATURAL PHILOSOPHY;466