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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 (Paperback, Softcover reprint of the original 1st ed. 2015)
Loot Price: R2,588
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Statistical Mechanics of Superconductivity (Paperback, Softcover reprint of the original 1st ed. 2015)
Series: Graduate Texts in Physics
Expected to ship within 10 - 15 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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