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A method for studying model hamiltonians : a minimax principle for problems in statistical physics /
A Method for Studying Model Hamiltonians: A Minimax Principle for Problems in Statistical Physics centers on methods for solving certain problems in statistical physics which contain four-fermion interaction. Organized into four chapters, this book begins with a presentation of the proof of the asym...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés Ruso |
| Publicado: |
Oxford ; New York :
Pergamon Press,
[1972]
|
| Edición: | First edition]. |
| Colección: | International series of monographs in natural philosophy ;
v. 43. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Bogol�i�ubov, N. N. |q (Nikola�i Nikolaevich), |d 1909-1992. | |
| 245 | 1 | 2 | |a A method for studying model hamiltonians : |b a minimax principle for problems in statistical physics / |c by N.N. Bogolyubov, Jr ; translated and edited by P.J. Shepherd. |
| 250 | |a First edition]. | ||
| 264 | 1 | |a Oxford ; |a New York : |b Pergamon Press, |c [1972] | |
| 300 | |a 1 online resource (x, 170 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 490 | 1 | |a International series of monographs in natural philosophy ; |v volume 43 | |
| 504 | |a Includes bibliographical references (pages 165-167). | ||
| 588 | 0 | |a Print version record. | |
| 506 | |3 Use copy |f Restrictions unspecified |2 star |5 MiAaHDL | ||
| 533 | |a Electronic reproduction. |b [Place of publication not identified] : |c HathiTrust Digital Library, |d 2010. |5 MiAaHDL | ||
| 538 | |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |u http://purl.oclc.org/DLF/benchrepro0212 |5 MiAaHDL | ||
| 583 | 1 | |a digitized |c 2010 |h HathiTrust Digital Library |l committed to preserve |2 pda |5 MiAaHDL | |
| 505 | 0 | |6 880-01 |a Front Cover; A Method for Studying Model Hamiltonians: A Minimax Principle for Problems in Statistical Physics; Copyright Page; Table of Contents; SERIES EDITOR'S PREFACE; PREFACE; INTRODUCTION; 1. General Remarks; 2. Remarks an Quasi-Averages; CHAPTER 1. PROOF OF THE ASYMPTOTIC RELATIONS FOR THE MANY-TIME CORRELATION FUNCTIONS; 1. General Treatment of the Problem. Some Preliminary Results and Formulation of the Problem; 2. Equations of Motion and Auxiliary Operator Inequalities; 3. Additional Inequalities; 4. Bounds for the Difference of the Single-time Averages; 5. Remark (I). | |
| 505 | 8 | |a 6. Proof of the Closeness of Averages Constructed on the Basis of Model and Trial Hamiltonians for ""Normal"" Ordering of the Operators in the Averages 7. Proof of the Closeness of the Averages for Arbitrary Ordering of the Operators in the Averages; Remark (II); 8. Estimates of the Asymptotic Closeness of the Many-time Correlation Averages; CHAPTER 2. CONSTRUCTION OF A PROOF OF THE GENERALIZED ASYMPTOTIC RELATIONS FOR THE MANY-TIME CORRELATION AVERAGES; 1. Selection Rules and Calculation of the Averages; 2. Generalized Convergence; 3. Remark; 4. Proof of the Asymptotic Relations. | |
| 505 | 8 | |a 5. Properties of Partial Derivatives of the Free Energy Function. Theorem 3. III 6. Rider to Theorem 3. Ill and Construction of an Auxiliary Inequality; 7. On the Difficulties of Introducing Quasi-averages; 8. A New Method of Introducing Quasi-averages; 9. The Question of the Choice of Sign for the Source-terms; 10. The Construction of Upper-bound Inequalities in the Case when C=0; CHAPTER 4. MODEL SYSTEMS WITH POSITIVE AND NEGATIVE INTERACTION COMPONENTS; 1. Hamiltonian with Negative Coupling Constants (Repulsive Interaction). | |
| 505 | 8 | |a 2. Features of the Asymptotic Relations for the Free Energies in the Case of Systems with Positive Interaction 3. Bounds for the Free Energies and Correlation Functions; 4. Examination of an Auxiliary Problem; 5. Solution of the Question of Uniqueness; 6. Hamiltonians with Coupling Constants of Different Signs. The Minimax Principle; REFERENCES; INDEX. | |
| 520 | |a A Method for Studying Model Hamiltonians: A Minimax Principle for Problems in Statistical Physics centers on methods for solving certain problems in statistical physics which contain four-fermion interaction. Organized into four chapters, this book begins with a presentation of the proof of the asymptotic relations for the many-time correlation functions. Chapter 2 details the construction of a proof of the generalized asymptotic relations for the many-time correlation averages. Chapter 3 explains the correlation functions for systems with four-fermion negative interaction. The last chapter sh. | ||
| 650 | 0 | |a Statistical physics. | |
| 650 | 0 | |a Fermions. | |
| 650 | 0 | |a Hamiltonian operator. | |
| 650 | 6 | |a Physique statistique. |0 (CaQQLa)201-0008397 | |
| 650 | 6 | |a Fermions. |0 (CaQQLa)201-0026315 | |
| 650 | 6 | |a Op�erateur hamiltonien. |0 (CaQQLa)201-0058893 | |
| 650 | 7 | |a SCIENCE |x Energy. |2 bisacsh | |
| 650 | 7 | |a SCIENCE |x Mechanics |x General. |2 bisacsh | |
| 650 | 7 | |a SCIENCE |x Physics |x General. |2 bisacsh | |
| 650 | 7 | |a Fermions. |2 fast |0 (OCoLC)fst00923003 | |
| 650 | 7 | |a Hamiltonian operator. |2 fast |0 (OCoLC)fst00950771 | |
| 650 | 7 | |a Statistical physics. |2 fast |0 (OCoLC)fst01132076 | |
| 650 | 1 | 7 | |a Minimax problemen. |2 gtt |
| 650 | 1 | 7 | |a Statistische mechanica. |2 gtt |
| 650 | 1 | 7 | |a Hamiltonianen. |2 gtt |
| 650 | 7 | |a Fisica Estatistica (Mec Estatistica) |2 larpcal | |
| 650 | 7 | |a Physique statistique. |2 ram | |
| 650 | 7 | |a Fermions. |2 ram | |
| 650 | 7 | |a Op�erateur hamiltonien. |2 ram | |
| 776 | 0 | 8 | |i Print version: |a Bogol�i�ubov, N.N. (Nikola�i Nikolaevich), 1909-1992. |t Method for studying model hamiltonians. |b First edition] |z 008016742X |w (DLC) 79183876 |w (OCoLC)521714 |
| 830 | 0 | |a International series of monographs in natural philosophy ; |v v. 43. | |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780080167428 |z Texto completo |
| 880 | 8 | |6 505-01/(S |a 5. Remark on the Construction of Uniform Bounds 6. Generalized Asymptotic Relations for the Green's Functions; 7. The Existence of Generalized Limits; CHAPTER 3. CORRELATION FUNCTIONS FOR SYSTEMS WITH FOURFERMION NEGATIVE INTERACTION; 1. Calculation of the Free Energy for Model Systems with Attraction; 2. Further Properties of the Expressions for the Free Energy; 3. Construction of Asymptotic Relations for the Free Energy; 4. On the Uniform Convergence with Respect to θ of the Free Energy Function and on Bounds for the Quantities δv. | |