Statistical Mechanics of Superconductivity

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 o...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Kita, Takafumi (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Tokyo : Springer Japan : Imprint: Springer, 2015.
Σειρά:Graduate Texts in Physics,
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
LEADER 04473nam a22005295i 4500
001 978-4-431-55405-9
003 DE-He213
005 20151125021116.0
007 cr nn 008mamaa
008 150505s2015 ja | s |||| 0|eng d
020 |a 9784431554059  |9 978-4-431-55405-9 
024 7 |a 10.1007/978-4-431-55405-9  |2 doi 
040 |d GrThAP 
050 4 |a QC611.9-611.98 
072 7 |a TJFD5  |2 bicssc 
072 7 |a TEC039000  |2 bisacsh 
072 7 |a SCI021000  |2 bisacsh 
082 0 4 |a 530.41  |2 23 
100 1 |a Kita, Takafumi.  |e author. 
245 1 0 |a Statistical Mechanics of Superconductivity  |h [electronic resource] /  |c by Takafumi Kita. 
264 1 |a Tokyo :  |b Springer Japan :  |b Imprint: Springer,  |c 2015. 
300 |a XI, 289 p. 37 illus.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 1 |a Graduate Texts in Physics,  |x 1868-4513 
505 0 |a Review of Thermodynamics -- Basics of Equilibrium Statistical Mechanics -- Quantum Mechanics of Identical Particles -- Statistical Mechanics of Ideal Gases -- Density Matrices and Two-Particle Correlations -- Hartree–Fock Equations and Landau’s Fermi-liquid theory -- Attractive Interaction and Bound States -- Mean-Field Equations of Superconductivity -- BCS Theory -- Superfluidity, Meissner Effect and Flux Quantization -- Responses to External Perturbations -- Tunneling, Density of States and Josephson Effect -- P-Wave Superfluidity -- Gor’kov, Eilenberger and Ginzburg–Landau Equations -- Abrikosov’s Flux-Line Lattice -- Surfaces and Vortex Cores -- Solutions to Problems. 
520 |a 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. 
650 0 |a Physics. 
650 0 |a Mathematical physics. 
650 0 |a Superconductivity. 
650 0 |a Superconductors. 
650 0 |a Statistical physics. 
650 0 |a Dynamical systems. 
650 1 4 |a Physics. 
650 2 4 |a Strongly Correlated Systems, Superconductivity. 
650 2 4 |a Statistical Physics, Dynamical Systems and Complexity. 
650 2 4 |a Mathematical Physics. 
650 2 4 |a Mathematical Methods in Physics. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9784431554042 
830 0 |a Graduate Texts in Physics,  |x 1868-4513 
856 4 0 |u http://dx.doi.org/10.1007/978-4-431-55405-9  |z Full Text via HEAL-Link 
912 |a ZDB-2-PHA 
950 |a Physics and Astronomy (Springer-11651)