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统计力学基础:菲利克斯·布洛赫德手稿与注释FUNDAMENTALS OF STATISTICAL MECHANICS

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作者: Felix Bloch 等著

出 版 社: Penguin

出版时间: 2000-12-1字数:版次: 1页数: 302印刷时间: 2000/11/15开本:印次:纸张: 胶版纸I S B N : 9789810244200包装: 平装内容简介

The 1952 Nobel physics laureate Felix Bloch (1905-83) was one of the titans of twentieth-century physics. He laid the fundamentals for the theory of solids and has been called the "father of solid-state physics." His numerous, valuable contributions include the theory of magnetism, measurement of the magnetic moment of the neutron, nuclear magnetic resonance, and the infrared problem in quantum electrodynamics.

Statistical mechanics is a crucial subject which explores the understanding of the physical behaviour of many-body systems that create the world around us. Bloch's first-year graduate course at Stanford University was the highlight for several generations of students. Upon his retirement, he worked on a book based on the course. Unfortunately, at the time of his death, the writing was incomplete.

This book has been prepared by Professor John Dirk Walecka from Bloch's unfinished masterpiece. It also includes three sets of Bloch's handwritten lecture notes (dating from 1949, 1969 and 1976), and details of lecture notes taken in 1976 by Brian Serot, who gave an invaluable opinion of the course from a student's perspective. All of Bloch's problem sets, some dating back to 1933, have been included.

The book is accessible to anyone in the physical sciences at the advanced undergraduate level or the first-year graduate level. --This text refers to an out of print or unavailable edition of this title.

目录

Preface

Second Preface

Chapter I: Introduction and Basic Concepts

Chapter II: Classical Physics

1. Hamilton's Equations

2. Phase Space

3. Liouville's Theorem

Chapter lll: The Statistical Ensemble

4. Distribution Function and Probability Density

5. M\ean Values Additive Quantities

6. Time Dependence of the Phase Density

Chapter IV: Thermal Equilibrium and The Canonical Distribution

7. Stationary Mean Values Conditions of Equilibrium

8. Constancy of the Distribution Function

9. The Canonical Distribution

10. Thermodynamic Functions

12. The Statistical Significance of Entropy

Chapter V: Applications of Classical Statistics

Energy

Heat Capacity

Entropy

Free Energy

Distribution in the # Space

14. The Viral Theorem

15. The Equipartitlon Theorem

16. Examples

Mean Kinetic Energy

Diatomic Molecules

Rigid Rotations

Vibrations

Solids

Normal Coordinates

Linear Chain

Periodic Boundary Conditions

Three-Dimensional Solid

Black-Body Radiation

17. Magnetism

Chapter VI: Quantum Statistics

18. Basic Elements of Quantum Mechanics

19. The Density Matrix

20. The Statistical Ensemble

21. Time Dependence of the Density Matrix

22. Thermal Equilibrimn

23. The Canonical Distribution

24. Thermodynamic Functiotls and the Partition Function

The Nernst Heat Theorem

Chapter VII: Applications of Quantum Statistics

25. Ideal Monatomic Gases

26. Mean Energy of Harmonic Oscillator

27. Examples

Diatomlc Molecules

Specific: Heat of Solids

The Debye Approximation

Black Body Radiation

Magnetism

Weiss Theory of Ferromagnetism

Transition from Quantum to Classical

Statistical Mechanics

28. Identical Particles

29. The Grand Canonical E~emble

30. Fermi Statistics

31. Bose Statistics

Appendix A: Canonical Transformations and Poisson Brackets

Appendix B: General Proof of Liouville's Theorem

Appendix C: Molecular Distributions

Appendix D: Some Properties of Fourier Series

Appendix E: Basic Texts and Monographs

Problems

Index

 
 
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