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Books > Professional & Technical > Electronics & communications engineering > Electronics engineering > Electronic devices & materials > Semi-conductors & super-conductors
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Statistical Mechanics of Superconductivity (Hardcover, 2015 ed.)
Loot Price: R2,814
Discovery Miles 28 140
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Statistical Mechanics of Superconductivity (Hardcover, 2015 ed.)
Series: Graduate Texts in Physics
Expected to ship within 12 - 17 working days
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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.
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