| Description |
1 online resource (474 pages) |
| Series |
Advanced Books Classics |
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Advanced Books Classics
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| Contents |
Cover; Half Title; Title Page; Copyright Page; Dedication; Editorâ#x80;#x99;s Foreword; PREFACE; Table of Contents; Chapter 1: Second Quantization and Coherent States; 1.1 Quantum Mechanics of a Single Particle; 1.2 Systems of Identical Particles; 1.3 Many-Body Operators; 1.4 Creation and Annihilation Operators; 1.5 Coherent States; Boson Coherent States; Grassmann Algebra; Fermion Coherent States; Gaussian Integrals; Problems for Chapter 1; Chapter 2: General Formalism at Finite Temperature; 2.1 Introduction; Quantum Statistical Mechanics; Physical Response Functions and Greenâ#x80;#x99;s Functions |
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Approximation Strategies2.2 Functional Integral Formulation; Feynman Path Integral; Imaginary-Time Path Integral and the Partition Function; Coherent State Functional Integral; The Partition Function for Many-Particle Systems; 2.3 Perturbation Theory; Wick's Theorem; Labeled Feynman Diagrams; Unlabeled Feynman Diagrams; Hugenholtz Diagrams; Frequency and Momentum Representation; The Linked Cluster Theorem; Calculation of Observables and Greenâ#x80;#x99;s functions; 2.4 Irreducible Diagrams and Integral Equations; Generating Function for Connected Green's Functions; The EfFective Potential |
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The Self-Energy and Dysonâ#x80;#x99;s EquationHigher-Order Vertex Functions; 2.5 Stationary-Phase Approximation and Loop Expansion; One-Dimensional Integral; Feynman Path Integral; Many-Particle Partition Function; Problems for Chapter 2; Chapter 3: Perturbation Theory at Zero Temperature; 3.1 Feynman Diagrams; Observables; Zero-Temperature Fermion Propagators; Fermion Diagram Rules; Bosons; 3.2 Time-Ordered Diagrams; 3.3 The Zero-Temperature Limit; Problems for Chapter 3; Chapter 4: Order Parameters and Broken Symmetry; 4.1 Introduction; Phases of Two Familiar Systems; Phenomenological Landau Theory |
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Broken Symmetry4.2 General Formulation with Order Parameters; Infinite Range Ising Model; Generalizations; Physical Examples; 4.3 Mean Field Theory; Legendre Transform; Ferromagnetic Transition for Classical Spins; Application to General Systems; 4.4 Fluctuations; Landau Ginzburg Theory and Dimensional Analysis; One-Loop Corrections; Continuous Symmetry; One-Loop Corrections for the x -- y model; Lower Critical Dimension; The Anderson-Higgs Mechanism; Problems for Chapter 4; Chapter 5: Greenâ#x80;#x99;s Functions; 5.1 Introduction; Definitions; Evaluation of Observables; 5.2 Analytic Properties |
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Zero Temperature Greenâ#x80;#x99;s FunctionsFinite Temperature Greenâ#x80;#x99;s Functions; 5.3 Physical Content of the Self Energy; Quasiparticle Pole; Effective Masses; Optical Potential; 5.4 Linear Response; The Response Function; Random Phase Approximation; Zero Sound; Matrix Form of RPA; Sum Rules and Examples; 5.5 Magnetic Susceptibility of a Fermi Gas; Static Susceptibility at Zero Temperature; Static Susceptibility at Finite Temperature; Dynamic Susceptibility at Zero Temperature; Dynamic Susceptibility at Finite Temperature; Problems for Chapter 5; Chapter 6: The Landau Theory of Fermi Liquids |
| Summary |
This book explains the fundamental concepts and theoretical techniques used to understand the properties of quantum systems having large numbers of degrees of freedom. A number of complimentary approaches are developed, including perturbation theory; nonperturbative approximations based on functional integrals; general arguments based on order parameters, symmetry, and Fermi liquid theory; and stochastic methods |
| Notes |
6.1 Quasiparticles and their Interactions |
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Print version record |
| Subject |
Many-body problem.
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Quantumfield theory
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Integration, Functional.
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Stochastic processes.
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Degree of freedom.
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Problème des N corps
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Champs, Théorie quantique des
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Intégration de fonctions
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Processus stochastiques
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Degré de liberté (Physique)
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Veel-deeltjes-systemen
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Functionaalintegratie
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Kwantumveldentheorie
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Stochastische processen
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Vrijheidsgraden
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Degree of freedom
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Integration, Functional
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Many-body problem
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Stochastic processes
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| Form |
Electronic book
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| Author |
Orland, Henri
|
| ISBN |
9780429966477 |
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0429966474 |
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