Condensed Matter Field Theory

Condensed Matter Field Theory
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2012-01
版次: 1
ISBN: 9780521845083
装帧: 平装
开本: 16开
纸张: 胶版纸
页数: 624页
  •   Theoretical condensed matter physics draws heavily andincreasingly on the language ofquantum field theory.This primer iSaimed at elevating graduate students of condensed matter physics toa level where they can engage in independent research.It emphasizesthedevelopment of modem methods of classical and quantum fieldtheory with applicationsof interest in both experimental andtheoretical condensed matter physics.Topics covered1nclude secondquantization,path and functional field integration,mean—fieldtheory andcollective phenomena,the renormalization group,andtopology.Conceptual aspects andformal methodology are emphasizedand developed,but the discussion is rooted firmly inpracticalexperimental application.As well as routine exercises.the textincludes extendedand challenging problems,with fully workedsolutions,designed to provide a bridgebetween formal manipulationsand research—oriented thinkin9.This book willcomplementgraduate—level courses on theoretical quantum condensedmatter physics. Preface

    1 From particles to fields

      1.1  Classical harmonic chain:phonons

      1.2  Functional analysis and variationalprinciples

      1.3  Maxwell’S equations as a variationalprinciple

      1.4  Quantum chain

      1.5  Quantum electrodynamics

      1.6  Noether’S theorem

      1.7  Summary and outlook

      1.8 Problems

    2 Second quantization

      2.1  Introduction to second quantization

      2.2  Applications of second quantization

      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  Summary and outlook

      3.5 Problems

    4 Functional field integral

      4.1  Construction of the many—body path integral

      4.2  Field integral for the quantum partitionfunction

      4.3  Field theoretical bosonization:a case study

      4.4  Summary and outlook

      4.5 Problems

     ……
  • 内容简介:
      Theoretical condensed matter physics draws heavily andincreasingly on the language ofquantum field theory.This primer iSaimed at elevating graduate students of condensed matter physics toa level where they can engage in independent research.It emphasizesthedevelopment of modem methods of classical and quantum fieldtheory with applicationsof interest in both experimental andtheoretical condensed matter physics.Topics covered1nclude secondquantization,path and functional field integration,mean—fieldtheory andcollective phenomena,the renormalization group,andtopology.Conceptual aspects andformal methodology are emphasizedand developed,but the discussion is rooted firmly inpracticalexperimental application.As well as routine exercises.the textincludes extendedand challenging problems,with fully workedsolutions,designed to provide a bridgebetween formal manipulationsand research—oriented thinkin9.This book willcomplementgraduate—level courses on theoretical quantum condensedmatter physics.
  • 目录:
    Preface

    1 From particles to fields

      1.1  Classical harmonic chain:phonons

      1.2  Functional analysis and variationalprinciples

      1.3  Maxwell’S equations as a variationalprinciple

      1.4  Quantum chain

      1.5  Quantum electrodynamics

      1.6  Noether’S theorem

      1.7  Summary and outlook

      1.8 Problems

    2 Second quantization

      2.1  Introduction to second quantization

      2.2  Applications of second quantization

      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  Summary and outlook

      3.5 Problems

    4 Functional field integral

      4.1  Construction of the many—body path integral

      4.2  Field integral for the quantum partitionfunction

      4.3  Field theoretical bosonization:a case study

      4.4  Summary and outlook

      4.5 Problems

     ……
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