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Mathematical Foundations of Quantum Statistical Mechanics - D. Y. Petrina
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Mathematical Foundations of Quantum Statistical Mechanics - Paperback

2014, ISBN: 9789401040839

[ED: Taschenbuch], [PU: Springer Netherlands], Neuware - This monograph is devoted to quantum statistical mechanics. It can be regarded as a continuation of the book 'Mathematical Foundat… More...

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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 - Paperback

2014, ISBN: 9789401040839

[ED: Taschenbuch], [PU: Springer Netherlands], Neuware - This monograph is devoted to quantum statistical mechanics. It can be regarded as a continuation of the book 'Mathematical Foundat… More...

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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 - Paperback

2012

ISBN: 9401040834

[EAN: 9789401040839], 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 - D.Y. Petrina
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D.Y. Petrina:
Mathematical Foundations of Quantum Statistical Mechanics - First edition

2012, ISBN: 9789401040839

Paperback

[ED: Kartoniert / Broschiert], [PU: Springer Netherlands], Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This monograph is devoted to qu… More...

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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 - First edition

2012, ISBN: 9789401040839

Paperback

[ED: Kartoniert / Broschiert], [PU: Springer Netherlands], Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This monograph is devoted to qu… More...

Shipping costs:Versandkostenfrei. (EUR 0.00) Moluna GmbH

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Details of the book
Mathematical Foundations of Quantum Statistical Mechanics

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 Systems" (Gordon & Breach SP, 1989) written together with my colleagues V. I. Gerasimenko and P. V. Malyshev. Taken together, these books give a complete pre- sentation of the statistical mechanics of continuous systems, both quantum and classical, from the common point of view. Both books have similar contents. They deal with the investigation of states of in- finite systems, which are described by infinite sequences of statistical operators (reduced density matrices) or Green's functions in the quantum case and by infinite sequences of distribution functions in the classical case. The equations of state and their solutions are the main object of investigation in these books. For infinite systems, the solutions of the equations of state are constructed by using the thermodynamic limit procedure, accord- ing to which we first find a solution for a system of finitely many particles and then let the number of particles and the volume of a region tend to infinity keeping the density of particles constant. However, the style of presentation in these books is quite different.

Details of the book - Mathematical Foundations of Quantum Statistical Mechanics


EAN (ISBN-13): 9789401040839
ISBN (ISBN-10): 9401040834
Hardcover
Paperback
Publishing year: 2012
Publisher: Springer Netherlands

Book in our database since 2014-10-29T10:43:10-04:00 (New York)
Detail page last modified on 2024-02-29T07:05:19-05:00 (New York)
ISBN/EAN: 9401040834

ISBN - alternate spelling:
94-010-4083-4, 978-94-010-4083-9
Alternate spelling and related search-keywords:
Book author: petrina, malyshev
Book title: foundations physics, the mathematical foundations, mathematical foundations quantum mechanics, quantum statistical 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: 2012-10-14
Dordrecht; NL
Printed / Made in
Language: English
106,99 € (DE)
109,99 € (AT)
118,00 CHF (CH)
POD
XVI, 445 p.

BC; 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; BB; EA

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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