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Beschreibung
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 mathematicalclarity 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 withexercises along with detailed answers.
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 mathematicalclarity 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 withexercises along with detailed answers.
Über den Autor
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 (1988-1993, research associate), at Department of Physics and Astronomy, University of Illinois at Urbana-Champaign (1991-1993, visiting scientist), and joined Hokkaido University subsequently. He spent a year in Germany (2000-2001) 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.
Zusammenfassung

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

Inhaltsverzeichnis
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 Landaüs 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.
Details
Erscheinungsjahr: 2016
Fachbereich: Fertigungstechnik
Genre: Importe, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Graduate Texts in Physics
Inhalt: xi
289 S.
37 s/w Illustr.
289 p. 37 illus.
ISBN-13: 9784431564140
ISBN-10: 4431564144
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Kita, Takafumi
Auflage: Softcover reprint of the original 1st edition 2015
Hersteller: Springer
Springer Japan KK
Graduate Texts in Physics
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 17 mm
Von/Mit: Takafumi Kita
Erscheinungsdatum: 29.10.2016
Gewicht: 0,464 kg
Artikel-ID: 107668381