Statistical Mechanics of Superconductivity

Nonfiction, Science & Nature, Technology, Superconductors & Superconductivity, Science, Physics, General Physics
Cover of the book Statistical Mechanics of Superconductivity by Takafumi Kita, Springer Japan
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Takafumi Kita ISBN: 9784431554059
Publisher: Springer Japan Publication: May 5, 2015
Imprint: Springer Language: English
Author: Takafumi Kita
ISBN: 9784431554059
Publisher: Springer Japan
Publication: May 5, 2015
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer Japan

Cover of the book A Study of the Fukushima Daiichi Nuclear Accident Process by Takafumi Kita
Cover of the book ACL Injury and Its Treatment by Takafumi Kita
Cover of the book Molecular Pathology of Gastroenterological Cancer by Takafumi Kita
Cover of the book Cardiac-Vascular Remodeling and Functional Interaction by Takafumi Kita
Cover of the book Pediatric Cardiology Updates by Takafumi Kita
Cover of the book Search for Charginos Nearly Mass-Degenerate with the Lightest Neutralino by Takafumi Kita
Cover of the book Community Seed Production Sustainability in Rice-Wheat Farming by Takafumi Kita
Cover of the book Evolution of the Human Genome I by Takafumi Kita
Cover of the book Japanese Firms During the Lost Two Decades by Takafumi Kita
Cover of the book Osteosarcoma by Takafumi Kita
Cover of the book Toxicogenomics by Takafumi Kita
Cover of the book Sustainable Landscape Planning in Selected Urban Regions by Takafumi Kita
Cover of the book Knowledge Synthesis by Takafumi Kita
Cover of the book Energy Technology Roadmaps of Japan by Takafumi Kita
Cover of the book Magnetism and Transport Phenomena in Spin-Charge Coupled Systems on Frustrated Lattices by Takafumi Kita
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy