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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]
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| Edición: | First edition]. |
| Colección: | International series of monographs in natural philosophy ;
v. 43. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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).
- 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.
- 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).
- 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.