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内容简介:
Modern experimental developments in condensed matter and ultracold atom physics present formidable challenges to theorists. This book provides a pedagogical introduction to quan-tum field theory in many particle physics, emphasizing the applicability of the formalism to concrete problems.
This second edition contains two new chapters developing path integral approaches to classical and quantum nonequilibrium phenomena. Other chapters cover a range of topics, from the introduction of many-body techniques and functional integration, to renormaliza-tion group methods, the theory of response functions, and topology. Conceptual aspects and formal methodology are emphasized, but the discussion focuses on practical experimental applications drawn largely from condensed matter physics and neighboring fields.
Extended and challenging problems with fully–worked solutions provide a bridge between formal manipulations and research-oriented thinking. Aimed at elevating graduate students to a level where they can engage in independent research, this book complements graduate level courses on many particle theory.
书籍目录:
Preface
1 From particles to fields
1.1 Classical harmonic chain: phonons
1.2 Functional analysis and variational principles
1.3 Maxwell's equations as a variational principle
1.4 Quantum chai
1.5 Quantum electrodynamics
1.6 Noether's theorem
1.7 Summary and outlook
1.8 Problems
2 Second quantizatio
2.1 Introduction to second quantizatio
2.2 Applications of second quantizatio
2.3 Summary and outlook
2.4 Problems
3 Feynman path integral
3.1 The path integral: general formalism
3.2 Construction of the path integral
3.3 Applications of the Feynman path integral
3.4 Problems
3.5 Problems
4 Functional field integral
4.1 Construction of the many-body path integral
4.2 Field integral for the quantum partition functio
4.3 Field theoretical bosonization: a case study
4.4 Summary and outlook
4.5 Problems
5 Perturbation theory
5.1 General structures and low-order expansions
5.2 Ground state energy of the interacting electron gas
5.3 Infinite-order expansions
5.4 Summary and outlook
5.5 Problems
6 Broken symmetry and collective phenomena
6.1 Mean-field theory
6.2 Plasma theory of the interacting electron gas
6.3 Bose-Einstein condensation and superfluidity
6.4 Superconductivity
6.5 Field theory of the disordered electron gas
6.6 Summary and outlook
6.7 Problems
7 Response functions
7.1 Crash course in modern experimental techniques
7.2 Linear response theory
7.3 Analytic structure of correlation functions
7.4 Electromagic linear response
7.5 Summary and outlook
7.6 Problems
8 The renormalization group
8.1 The one-dimensional Ising model
8.2 Dissipative quantum tunneling
8.3 Renormalization group: general theory
8.4 RG analysis of the ferromagic transitio
8.5 RG analysis of the nonlinear a-model
8.6 Berezinskii-Kosterlitz-Thouless transitio
8.7 Summary and outlook
8.8 Problems
9 Topology
9.1 Example: particle on a ring
9.2 Homotopy
9.3 0-0terms
9.4 Wess-Zumino terms
9.5 Chern-Simons terms
9.6 Summary and outlook
9.7 Problems
10 Nonequilibrium (classical)
10.1 l~hndamental questions of (nonequilibrium) statistical mechanics
10.2 Langevin theory
……
作者介绍:
Alexander Altland is Professor of Theoretical Condensed Matter Physics at the Institute of Theoretical Physics, University of K¨oln. His main areas of research include mesoscopic physics, the physics of interacting many particle systems, and quantum nonlinear dynamics.
Benjamin D. Simons is Professor of Theoretical Condensed Matter Physics at the
Cavendish Laboratory, University of Cambridge. His main areas of research include strongly correlated condensed matter systems, mesoscopic and ultracold atom physics.
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书籍介绍
Modern experimental developments in condensed matter and ultracold atom physics present formidable challenges to theorists. This book provides a pedagogical introduction to quan-tum field theory in many particle physics, emphasizing the applicability of the formalism to concrete problems.
This second edition contains two new chapters developing path integral approaches to classical and quantum nonequilibrium phenomena. Other chapters cover a range of topics, from the introduction of many-body techniques and functional integration, to renormaliza-tion group methods, the theory of response functions, and topology. Conceptual aspects and formal methodology are emphasized, but the discussion focuses on practical experimental applications drawn largely from condensed matter physics and neighboring fields.
Extended and challenging problems with fully–worked solutions provide a bridge between formal manipulations and research-oriented thinking. Aimed at elevating graduate students to a level where they can engage in independent research, this book complements graduate level courses on many particle theory.
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