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Mathematical Foundations of Quantum Statistical Mechanics : Continuous Systems - D. Y. Petrina
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D. Y. Petrina:

Mathematical Foundations of Quantum Statistical Mechanics : Continuous Systems - hardcover

1995, ISBN: 079233258X

[EAN: 9780792332589], Neubuch, [SC: 36.23], [PU: Springer Netherlands], DENSITY; DIFFERENTIALEQUATION; STATISTICALMECHANICS; SUPERCONDUCTIVITY, Druck auf Anfrage Neuware - Printed after o… More...

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Mathematical Foundations of Quantum Statistical Mechanics by D.Y. Petrina Hardcover | Indigo Chapters
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Mathematical Foundations of Quantum Statistical Mechanics by D.Y. Petrina Hardcover | Indigo Chapters - new book

ISBN: 9780792332589

This monograph is devoted to quantum statistical mechanics. It can be regarded as a continuation of the book ""Mathematical Foundations of Classical Statistical Mechanics. Continuous Syst… More...

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Mathematical Foundations of Quantum Statistical Mechanics
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Mathematical Foundations of Quantum Statistical Mechanics - new book

ISBN: 9780792332589

This monograph is devoted to quantum statistical mechanics. It can be regarded as a continuation of the book "Mathematical Foundations of Classical Statistical Mechanics. Continuous Syste… More...

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Mathematical Foundations of Quantum Statistical Mechanics Continuous Systems - Petrina, D. Y.
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Petrina, D. Y.:
Mathematical Foundations of Quantum Statistical Mechanics Continuous Systems - hardcover

1995, ISBN: 079233258X

1995 Gebundene Ausgabe Mathematische Physik, density; differentialequation; statisticalmechanics; Superconductivity, mit Schutzumschlag 11, [PU:Springer Netherlands; Springer Netherland]

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Mathematical Foundations of Quantum Statistical Mechanics - D.Y. Petrina
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D.Y. Petrina:
Mathematical Foundations of Quantum Statistical Mechanics - hardcover

1995, ISBN: 9780792332589

Continuous Systems, Buch, Hardcover, 1995 ed. [PU: Springer], Springer, 1995

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Mathematical Foundations of Quantum Statistical Mechanics

This monograph is devoted to the study of equilibrium and nonequilibrium states of infinite continuous systems in quantum statistical mechanics. The states of these systems are described by infinite sequences of statistical operators (reduced density matrices) or Green's functions which satisfy the infinite hierarchy of integro-differential equations. The investigation of these equations and constructing their solutions is the main subject of this work. Model systems in the theories of superconductivity and superfluidity and other exactly solvable models are studied in detail. This volume will be of interest to mathematical and theoretical physicists and applied mathematicians interested in quantum statistical mechanics.

Details of the book - Mathematical Foundations of Quantum Statistical Mechanics


EAN (ISBN-13): 9780792332589
ISBN (ISBN-10): 079233258X
Hardcover
Publishing year: 1995
Publisher: Springer

Book in our database since 2008-02-23T21:55:10-05:00 (New York)
Detail page last modified on 2023-10-04T00:14:00-04:00 (New York)
ISBN/EAN: 079233258X

ISBN - alternate spelling:
0-7923-3258-X, 978-0-7923-3258-9
Alternate spelling and related search-keywords:
Book author: petrina, gordon green, malyshev
Book title: foundations quantum physics, mathematical physics quantum mechanics, studies statistical mechanics, mathematical foundations quantum statistical mechanics continuous systems, the mathematical foundations, classical mechanics


Information from Publisher

Author: D.Y. Petrina
Title: Mathematical Physics Studies; Mathematical Foundations of Quantum Statistical Mechanics - Continuous Systems
Publisher: Springer; Springer Netherland
445 Pages
Publishing year: 1995-01-31
Dordrecht; NL
Language: English
106,99 € (DE)
109,99 € (AT)
118,00 CHF (CH)
Available
XVI, 445 p.

BB; Hardcover, Softcover / Physik, Astronomie/Theoretische Physik; Mathematische Physik; Verstehen; density; differential equation; mechanics; statistical mechanics; superconductivity; Theoretical, Mathematical and Computational Physics; Complex Systems; Kybernetik und Systemtheorie; BC

1. Evolution of States of Quantum Systems of Finitely Many Particles.- 1. Principal Concepts of Quantum Mechanics.- 2. Evolution of States of Quantum Systems with Arbitrarily Many Particles.- 3. Evolution of States in the Heisenberg Representation and in the Interaction Representation.- Mathematical Supplement I.- References.- 2. Evolution of States of Infinite Quantum Systems.- 4. Bogolyubov Equations for Statistical Operators.- 5. Solution of the Bogolyubov Equations.- 6. Gibbs Distributions.- Mathematical Supplement II.- Mathematical Supplement III.- 3. Thermodynamic Limit.- 7. Thermodynamic Limit for Statistical Operators.- 8. Statistical Operators in the Case of Quantum Statistics.- 9. Bogolyubov’s Principle of Weakening of Correlations.- Mathematical Supplement IV.- References.- 4. Mathematical Problems in the Theory of Superconductivity.- 10. Fröhlich Model.- 11. Bogolyubov’s Compensation Principle for “Dangerous” Diagrams. Compensation Equations.- 12. Bardeen-Cooper-Schrieffer (BCS) Hamiltonian.- 13. Microscopic Theory of Superfluidity.- Mathematical Supplement V.- 5. Green’s Functions.- 14. Green’s Functions. Equations for Green’s Functions.- 15. Investigation of the Equations for Green’s Functions in the Theory of Superconductivity and Superfluidity.- 16. Green’s Functions in the Thermodynamic Limit.- 6. Exactly Solvable Models.- 17. Description of the Hamiltonians of Model Systems.- 18. Functional Spaces of Translation-Invariant Functions.- 19. Model Hamiltonians in the Spaces of Translation Invariant Functions.- 20. Model BCS Hamiltonian in the Space hT. Equivalence of General and Model Hamiltonians in the Space of Pairs.- 21. Equations for Green’s Functions and Their Solutions.- Mathematical Supplement VI.- 7. Quasiaverages. Theorem onSingularities of Green’s Functions of 1/q2 -Type.- 22. Quasiaverages.- 23. Green’s Functions and Their Spectral Representations.- 24. Theorem on Singularities of Green’s Functions of 1/q2 -Type.

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