國立虎尾科技大學 |

Statistical Mechanics of Superconductivity

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Statistical Mechanics of Superconductivity/ by Takafumi Kita.
作者:	Kita, Takafumi.
面頁冊數:	XI, 289 p. 37 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Superconductivity. -
電子資源:	https://doi.org/10.1007/978-4-431-55405-9
ISBN:	9784431554059

Statistical Mechanics of Superconductivity
Kita, Takafumi.

Statistical Mechanics of Superconductivity[electronic resource] /by Takafumi Kita. - 1st ed. 2015. - XI, 289 p. 37 illus.online resource. - Graduate Texts in Physics,1868-4513. - Graduate Texts in Physics,.

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.

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.

ISBN: 9784431554059

Standard No.: 10.1007/978-4-431-55405-9doiSubjects--Topical Terms:

592128
Superconductivity.

LC Class. No.: QC611.9-611.98

Dewey Class. No.: 530.41

Statistical Mechanics of Superconductivity
LDR:04059nam a22004095i 4500 001 967069
003 DE-He213
005 20200704165159.0
007 cr nn 008mamaa
008 201211s2015 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
035 $a 978-4-431-55405-9
050 4 $a QC611.9-611.98
072 7 $a TJFD5 $2 bicssc
072 7 $a TEC039000 $2 bisacsh
072 7 $a TJFD $2 thema
082 0 4 $a 530.41 $2 23
100 1 $a Kita, Takafumi. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1262720
245 1 0 $a Statistical Mechanics of Superconductivity $h [electronic resource] / $c by Takafumi Kita.
250 $a 1st ed. 2015.
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 Superconductivity. $3 592128
650 0 $a Superconductors. $3 578837
650 0 $a Statistical physics. $3 528048
650 0 $a Dynamical systems. $3 1249739
650 0 $a Mathematical physics. $3 527831
650 0 $a Physics. $3 564049
650 1 4 $a Strongly Correlated Systems, Superconductivity. $3 782319
650 2 4 $a Complex Systems. $3 888664
650 2 4 $a Mathematical Physics. $3 786661
650 2 4 $a Mathematical Methods in Physics. $3 670749
650 2 4 $a Statistical Physics and Dynamical Systems. $3 1114011
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9784431554042
776 0 8 $i Printed edition: $z 9784431554066
776 0 8 $i Printed edition: $z 9784431564140
830 0 $a Graduate Texts in Physics, $x 1868-4513 $3 1253956
856 4 0 $u https://doi.org/10.1007/978-4-431-55405-9
912 $a ZDB-2-PHA
912 $a ZDB-2-SXP
950 $a Physics and Astronomy (SpringerNature-11651)
950 $a Physics and Astronomy (R0) (SpringerNature-43715)