 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 Cooperpair condensation and the origin of superfluidity
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 About this Textbook

This book provides a theoretical, stepbystep 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 spinstatistics 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 twoparticle correlations of quantum ideal gases, derivation of the Hartree–Fock equations, and Landau’s Fermiliquid theory, among others. With these preliminaries, the fundamental meanfield equations of superconductivity are derived with maximum mathematical clarity based on a coherent state in terms of the Cooperpair 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 Cooperpair condensation can be clearly seen making the superfluidity comprehensible naturally. Subsequently, they are applied to homogeneous cases to describe the BCS theory for classic swave superconductors and its extension to the pwave superfluidity of ^{3}He. Later, the meanfield equations are simplified to the Eilenberger and Ginzburg–Landau equations so as to describe inhomogeneous superconductivity such as Abrikosov’s fluxline lattice concisely and transparently. Chapters provide the latest studies on the quasiclassical theory of superconductivity and a discovery of pwave superfluidity in liquid ^{3}He. The book serves as a standard reference for advanced courses of statistical mechanics with exercises along with detailed answers.
 About the authors

Takafumi Kita is an associate professor at Department of Physics, Hokkaido University, Japan. He obtained a PhD from Department of Applied Physics, the University of Tokyo in 1988. He held positions at Institute of Solid State Physics, the University of Tokyo (19881993, research associate), at Department of Physics and Astronomy, University of Illinois at UrbanaChampaign (19911993, visiting scientist), and joined Hokkaido University subsequently. He spent a year in Germany (20002001) at University of Karlsruhe and at University of Bayreuth (half a year per each) as an overseas research fellow. He has been teaching quantum mechanics, thermodynamics, statistical mechanics, mathematical methods in physics, field theory in statistical mechanics, etc., over 20 years.
 Reviews

“This book has a unique approach to formulating mean field theory of superconductivity especially in a way most useful for studying inhomogeneous and/or unconventional superconductors. Building up from the fundamental laws of thermodynamics and the basic techniques of statistical mechanics such that it is readable for students, it develops the Bogoliubovde Gennes formalism of superconductivity. The book culminates in derivation of the quasiclassical theory of superconductivity and its application to description of vortex states. While it is informative and useful for researchers in the field, it is an excellent textbook – either as the main text or for supplementary reading – for a variety of graduate courses ranging from a standard class on statistical mechanics or condensed matter physics to more specialised classes such as one on superconductivity.” (Professor K.Tanaka, Department of Physics & Engineering Physics, University of Saskatchewan)
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 Table of contents (17 chapters)


Review of Thermodynamics
Pages 112

Basics of Equilibrium Statistical Mechanics
Pages 1323

Quantum Mechanics of Identical Particles
Pages 2541

Statistical Mechanics of Ideal Gases
Pages 4360

Density Matrices and TwoParticle Correlations
Pages 6171

Table of contents (17 chapters)
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Bibliographic Information
 Bibliographic Information

 Book Title
 Statistical Mechanics of Superconductivity
 Authors

 Takafumi Kita
 Series Title
 Graduate Texts in Physics
 Copyright
 2015
 Publisher
 Springer Japan
 Copyright Holder
 Springer Japan
 eBook ISBN
 9784431554059
 DOI
 10.1007/9784431554059
 Hardcover ISBN
 9784431554042
 Softcover ISBN
 9784431564140
 Series ISSN
 18684513
 Edition Number
 1
 Number of Pages
 XI, 289
 Number of Illustrations
 37 b/w illustrations
 Topics