說明 
1 online resource (xi, 289 pages) : illustrations, digital ; 24 cm 

text txt rdacontent 

computer c rdamedia 

online resource cr rdacarrier 

text file PDF rda 
系列 
Graduate texts in physics, 18684513


Graduate texts in physics

附註 
Review of Thermodynamics  Basics of Equilibrium Statistical Mechanics  Quantum Mechanics of Identical Particles  Statistical Mechanics of Ideal Gases  Density Matrices and TwoParticle Correlations  Hartree–Fock Equations and Landau's Fermiliquid theory  Attractive Interaction and Bound States  MeanField Equations of Superconductivity  BCS Theory  Superfluidity, Meissner Effect and Flux Quantization  Responses to External Perturbations  Tunneling, Density of States and Josephson Effect  PWave Superfluidity  Gor'kov, Eilenberger and Ginzburg–Landau Equations  Abrikosov's FluxLine Lattice  Surfaces and Vortex Cores  Solutions to Problems 

This book provides a theoretical, stepbystep 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 spinstatistics 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 twoparticle correlations of quantum ideal gases, derivation of the Hartree–Fock equations, and Landau's Fermiliquid theory, among others. With these preliminaries, the fundamental meanfield equations of superconductivity are derived with maximum mathematical clarity based on a coherent state in terms of the Cooperpair 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 Cooperpair condensation can be clearly seen making the superfluidity comprehensible naturally. Subsequently, they are applied to homogeneous cases to describe the BCS theory for classic swave superconductors and its extension to the pwave superfluidity of 3He. Later, the meanfield equations are simplified to the Eilenberger and Ginzburg–Landau equations so as to describe inhomogeneous superconductivity such as Abrikosov's fluxline lattice concisely and transparently. Chapters provide the latest studies on the quasiclassical theory of superconductivity and a discovery of pwave superfluidity in liquid 3He. The book serves as a standard reference for advanced courses of statistical mechanics with exercises along with detailed answers 
Host Item 
Springer eBooks

主題 
Superconductivity


Statistical mechanics


Physics


Strongly Correlated Systems, Superconductivity


Statistical Physics, Dynamical Systems and Complexity


Mathematical Physics


Mathematical Methods in Physics

Alt Author 
SpringerLink (Online service)

