Download e-book for iPad: Statistical Mechanics of Superconductivity (Graduate Texts by Takafumi Kita

By Takafumi Kita

ISBN-10: 4431554041

ISBN-13: 9784431554042

ISBN-10: 4431564144

ISBN-13: 9784431564140

This booklet presents a theoretical, step by step finished clarification of superconductivity for undergraduate and graduate scholars who've accomplished hassle-free classes on thermodynamics and quantum mechanics. To this finish, it adopts the original strategy of beginning with the statistical mechanics of quantum excellent gases and successively including and clarifying components and methods indispensible for realizing it. They contain the spin-statistics theorem, moment quantization, density matrices, the Bloch–De Dominicis theorem, the variational precept in statistical mechanics, appealing interplay and certain states. considerable examples in their utilization also are supplied when it comes to subject matters from complicated statistical mechanics equivalent to two-particle correlations of quantum excellent gases, derivation of the Hartree–Fock equations, and Landau’s Fermi-liquid concept, between others. With those preliminaries, the basic mean-field equations of superconductivity are derived with greatest mathematical readability in response to a coherent kingdom by way of the Cooper-pair production operator, a quasiparticle box for describing the excitation and the variational precept in statistical mechanics. they've got the virtue that the part coherence because of the Cooper-pair condensation will be basically obvious making the superfluidity understandable certainly. to that end, they're utilized to homogeneous situations to explain the BCS concept for traditional 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 which will describe inhomogeneous superconductivity resembling Abrikosov’s flux-line lattice concisely and transparently. Chapters give you the most up-to-date reviews at the quasiclassical conception of superconductivity and a discovery of p-wave superfluidity in liquid 3He. The ebook serves as a customary reference for complex classes of statistical mechanics with workouts besides distinct answers.

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Statistical Mechanics of Superconductivity (Graduate Texts in Physics) by Takafumi Kita

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