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Book 图书名称：Statistical Mechanics of Superconductivity
Author 作者：Takafumi Kita
Publisher 出版社： Springer
Page 页数：290
Publishing Date 出版时间：May 5, 2015
Language 语言：English
Size 大小： 3 MB
Format 格式：pdf 文字版
ISBN:4431554041, 9784431554042, 9784431554059
Edition: 第1版 搜索过论坛，没有该文档
Familiarizes readers with major concepts and techniques of modern theoretical physics through the study of superconductivity
Provides careful and detailed mathematical derivations understandable by beginners
Guides students of superconductivity on which topics to study in mathematics and modern theoretical physics
Demonstrates clearly both the coherence of the Cooper-pair condensation and the origin of superfluidity
This book provides a theoretical, step-by-step comprehensive explanation of superconductivity for undergraduate and graduate students who have completed elementary courses on thermodynamics and quantum mechanics. To this end, it adopts the unique approach of starting with the statistical mechanics of quantum ideal gases and successively adding and clarifying elements and techniques indispensible for understanding it. They include the spin-statistics theorem, second quantization, density matrices, the Bloch–De Dominicis theorem, the variational principle in statistical mechanics, attractive interaction and bound states. Ample examples of their usage are also provided in terms of topics from advanced statistical mechanics such as two-particle correlations of quantum ideal gases, derivation of the Hartree–Fock equations, and Landau’s Fermi-liquid theory, among others. With these preliminaries, the fundamental mean-field equations of superconductivity are derived with maximum mathematical clarity based on a coherent state in terms of the Cooper-pair creation operator, a quasiparticle field for describing the excitation and the variational principle in statistical mechanics. They have the advantage that the phase coherence due to the Cooper-pair condensation can be clearly seen making the superfluidity comprehensible naturally. Subsequently, they are applied to homogeneous cases to describe the BCS theory for classic s-wave superconductors and its extension to the p-wave superfluidity of 3He. Later, the mean-field equations are simplified to the Eilenberger and Ginzburg–Landau equations so as to describe inhomogeneous superconductivity such as Abrikosov’s flux-line lattice concisely and transparently. Chapters provide the latest studies on the quasiclassical theory of superconductivity and a discovery of p-wave superfluidity in liquid 3He. The book serves as a standard reference for advanced courses of statistical mechanics with exercises along with detailed answers.
Related Subjects: Strongly Correlated Systems, Superconductivity, Statistical Physics, Dynamical Systems and Complexity, Mathematical Physics, Mathematical Methods in Physics
== Table of contents ==
Front Matter
Pages i-xi
Book Chapter
Pages 1-12
Review of Thermodynamics
Book Chapter
Pages 13-23
Basics of Equilibrium Statistical Mechanics
Book Chapter
Pages 25-41
Quantum Mechanics of Identical Particles
Book Chapter
Pages 43-60
Statistical Mechanics of Ideal Gases
Book Chapter
Pages 61-71
Density Matrices and Two-Particle Correlations
Book Chapter
Pages 73-89
Hartree–Fock Equations and Landau’s Fermi-Liquid Theory
Book Chapter
Pages 91-99
Attractive Interaction and Bound States
Book Chapter
Pages 101-123
Mean-Field Equations of Superconductivity
Book Chapter
Pages 125-141
BCS Theory
Book Chapter
Pages 143-157
Superfluidity, Meissner Effect, and Flux Quantization
Book Chapter
Pages 159-174
Responses to External Perturbations
Book Chapter
Pages 175-187
Tunneling, Density of States, and Josephson Effect
Book Chapter
Pages 189-200
P -Wave Superfluidity
s
Book Chapter
Pages 201-227
Gor’kov, Eilenberger, and Ginzburg–Landau Equations
Book Chapter
Pages 229-246
Abrikosov’s Flux-Line Lattice
Book Chapter
Pages 247-263
Surfaces and Vortex Cores
Book Chapter
Pages 265-286
Solutions to Problems
Back Matter
Pages 287-289
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