統(tǒng)計(jì)力學(xué)基礎(chǔ)

內(nèi)容概要

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.

書籍目錄

PrefaceSecond PrefaceChapter I: Introduction and Basic ConceptsChapter II: Classical Physics  1. Hamilton's Equations  2. Phase Space  3. Liouville's TheoremChapter lll: The Statistical Ensemble  4. Distribution Function and Probability Density  5. M\ean Values Additive Quantities  6. Time Dependence of the Phase DensityChapter 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 EntropyChapter 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. MagnetismChapter 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 TheoremChapter 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 StatisticsAppendix A: Canonical Transformations and Poisson BracketsAppendix B: General Proof of Liouville's TheoremAppendix C: Molecular DistributionsAppendix D: Some Properties of Fourier SeriesAppendix E: Basic Texts and MonographsProblemsIndex

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