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Title
Statistical mechanics of superconductivity [electronic resource] / by Takafumi Kita.
Uniform Title
Toukeirikigaku kara rikai suru tyodendouriron. English
ISBN
9784431554059 electronic book
443155405X electronic book
9784431554042
Published
Tokyo : Springer, 2015.
Language
English
Description
1 online resource (xi, 289 pages) : illustrations.
Item Number
10.1007/978-4-431-55405-9 doi
Call Number
QC611.92
Dewey Decimal Classification
537.6/23
Summary
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.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed May 18, 2015).
Series
Graduate texts in physics.
Available in Other Form
Print version: 9784431554042
Review of Thermodynamics
Basics of Equilibrium Statistical Mechanics
Quantum Mechanics of Identical Particles
Statistical Mechanics of Ideal Gases
Density Matrices and Two-Particle Correlations
Hartree?Fock Equations and Landau?s Fermi-liquid theory
Attractive Interaction and Bound States
Mean-Field Equations of Superconductivity
BCS Theory
Superfluidity, Meissner Effect and Flux Quantization
Responses to External Perturbations
Tunneling, Density of States and Josephson Effect
P-Wave Superfluidity
Gor?kov, Eilenberger and Ginzburg?Landau Equations
Abrikosov?s Flux-Line Lattice
Surfaces and Vortex Cores
Solutions to Problems.
