Statistical Mechanics of Superconductivity

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Release : 2015-05-05
Genre : Technology & Engineering
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Book Rating : 05X/5 ( reviews)

Statistical Mechanics of Superconductivity - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Statistical Mechanics of Superconductivity write by Takafumi Kita. This book was released on 2015-05-05. Statistical Mechanics of Superconductivity available in PDF, EPUB and Kindle. 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.

Statistical Mechanics of Superconductivity

Download Statistical Mechanics of Superconductivity PDF Online Free

Author :
Release : 2015
Genre :
Kind :
Book Rating : 066/5 ( reviews)

Statistical Mechanics of Superconductivity - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Statistical Mechanics of Superconductivity write by Takafumi Kita. This book was released on 2015. Statistical Mechanics of Superconductivity available in PDF, EPUB and Kindle. 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.

Quantum Statistical Theory of Superconductivity

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Release : 1996-11-30
Genre : Science
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Book Rating : 630/5 ( reviews)

Quantum Statistical Theory of Superconductivity - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Quantum Statistical Theory of Superconductivity write by S. Fujita. This book was released on 1996-11-30. Quantum Statistical Theory of Superconductivity available in PDF, EPUB and Kindle. In this text, Shigeji Fujita and Salvador Godoy guide first and second-year graduate students through the essential aspects of superconductivity. The authors open with five preparatory chapters thoroughly reviewing a number of advanced physical concepts-such as free-electron model of a metal, theory of lattice vibrations, and Bloch electrons. The remaining chapters deal with the theory of superconductivity-describing the basic properties of type I, type II compound, and high-Tc superconductors as well as treating quasi-particles using Heisenberg's equation of motion. The book includes step-by-step derivations of mathematical formulas, sample problems, and illustrations.

Superconductivity, Superfluids and Condensates

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Release : 2004-03-25
Genre : Science
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Book Rating : 567/5 ( reviews)

Superconductivity, Superfluids and Condensates - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Superconductivity, Superfluids and Condensates write by James F. Annett. This book was released on 2004-03-25. Superconductivity, Superfluids and Condensates available in PDF, EPUB and Kindle. This textbook series has been designed for final year undergraduate and first year graduate students, providing an overview of the entire field showing how specialized topics are part of the wider whole, and including references to current areas of literature and research.

Superconductivity

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Release : 2005-09-01
Genre : Science
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Book Rating : 43X/5 ( reviews)

Superconductivity - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Superconductivity write by Kristian Fossheim. This book was released on 2005-09-01. Superconductivity available in PDF, EPUB and Kindle. Superconductivity: Physics and Applications brings together major developments that have occurred within the field over the past twenty years. Taking a truly modern approach to the subject the authors provide an interesting and accessible introduction. Brings a fresh approach to the physics of superconductivity based both on the well established and convergent picture for most low-Tc superconductors, provided by the BCS theory at the microscopic level, and London and Ginzburg-Landau theories at the phenomenological level, as well as on experiences gathered in high-Tc research in recent years. Includes end of chapter problems and numerous relevant examples Features brief interviews with key researchers in the field A prominent feature of the book is the use of SI units throughout, in contrast to many of the current textbooks on the subject which tend to use cgs units and are considered to be outdated