《量子权掉场物理学》作者是(美国)斯通(Michael Stone)。

• 书名 量子场物理学
• 作者 (美国)斯通(Michael Stone)
• ISBN 9787506292764
• 定价 35.00元
• 出版时间 2010-4

内容简介

　　《量子场物理学》is intended 关穿to provide a general introduction to the p苦hysics of quantized fields and many-body phy良sics. It is based on a two-semester sequenc普镇e of courses taught at th益策刻朝角e University of I来自llinois at Urbana-Champaign at various times b360百科etween 1985 and 1997. The stu他dents taking all or part of the sequence had interests ranging from particle and nuclear theory through quantum 基optics to condensed matter physics experiment.

　　Th害毫卫南宪天e book does not cover as much ground as some texts. This is because I have tried to concentrate on the basic concep下厂础tual issues tha面纪仅其封裂修t many stu贵运太半dents find difficult. For a computation-m赶庆金是或成该ethod oriented course an instructor would probably wish to suplement this book with a more comprehensive and specialized text such as Peskin and Schroeder An Introduction to Quan顶独确工培着民tum Field Theory, which is intended for particle theorists, or perhaps the venerable Quantum Theory of Many-Particle Systems by Fetter and Walecka.

图书目录

　　Preface

　　1 Discrete Systems

　　1.1 One-Dimensional Harmonic Crystal

　　1.1.1 Normal Modes

　　1.1.2 术顺富木Harmonic 界速盟坚假脸去十Oscillator

　　1.1.3 Annihilation and Creation Operators for Normal Mode医军物愿然s

　　1.2 Continuum Limit

　　1.2.1 Sum样调自志手s and Integrals

　名仅论海茶宁　1.2.2 Continuum Fields

　　2 Relativistic Scalar Fields

　　2.1 Convcntions

　　2.2 The Klein-Gordon Equation

　　2.2.1 Relativistic Normalization

　　2.2.2 An Inner Product

　　2.2.3 Complex Scalar Fields

　　2.3 Symmetries and Noether's Theorem

　　2.3.1 Internal Symmetries

　　2.3.2 Space-Time Symmetries

　　3 Perturbation Theory

　　3.1 Interactions

　　3.2 Perturbation Theory

　　3.2.1 Interaction Picture

　　3.2.2 Propagators and Time-Ordered Products

　　3.3 Wick's Theorem

　　3.3.1 Normal Products

　　3.3.2 Wick's Theorem

　　3.3.3 Applications

　　4 Feynman Rules

　　4.1 Diagrams

　　4.1.1 Diagrams in Space-time

　　4.1.2 Diagrams in Momentum Space

　　4.2 Scattering Theory

　　4.2.1 Cross-Sections

　　4.2.2 Decay of an Unstable Particle

　　5 Loops, Unitarity, and Analyticity

　　5.1 Unitarity of the S Matrix

　　5.2 The Analytic S Matrix

　　5.2.1 Origin of Analyticity

　　5.2.2 Unitarity and Branch Cuts

　　5.2.3 Resonances, Widths, and Lifetimes

　　5.3 Some Loop Diagrams

　　5.3.1 Wick Rotation

　　5.3.2 Feynman Parameters

　　5.3.3 Dimensional Regularization

　　6 Formal Developments

　　6.1 Gell-Mann Low Theorem

　　6.2 Lehmann-Kaillen Spectral Representation

　　6.3 LSZ Reduction Formulae

　　6.3.1 Amputation of External Legs

　　6.3.2 In and Out States and Fields

　　6.3.3 Borcher's Classes

　　7 Fermions

　　7.1 Dirac Equation

　　7.2 Spinors, Tensors, and Currents

　　7.2.1 Field Bilinears

　　7.2.2 Conservation Laws

　　7.3 Holes and the Dirac Sea

　　7.3.1 Positive and Negative Energies

　　7.3.2 Holes

　　7.4 Quantization

　　7.4.1 Normal and Time-Ordered Products

　　8 QED

　　8.1 Quantizing Maxwell's Equations

　　8.1.1 1 Hamiltonian Formalism

　　8.1.2 Axial Gauge

　　8.1.3 Lorentz Gauge

　　8.2 Feynman Rules for QED

　　8.2.1 Moiler Scattering

　　8.3 Ward Identity and Gauge Invariance

　　8.3.1 The Ward Identity

　　8.3.2 Applications

　　9 Electrons in Solids

　　9.1 Second Quantization

　　9.2 Fermi Gas and Fermi Liquid

　　9.2.1 One-Particle Density Matrix

　　9.2.2 Linear Response

　　9.2.3 Diagram Approach

　　9.2.4 Applications

　　9.3 Electrons and Phonons

　　10 Nonrelativistic Bosons

　　10.1 The Boson Field

　　10.2 Spontaneous Symmetry Breaking

　　10.3 Dilute Bose Gas

　　10.3.1 Bogoliubov Transfomation

　　10.3.2 Field Equations

　　10.3.3 Quantization

　　10.3.4 Landau Criterion for Superfiuidity

　　10.3.5 Normal and Superfiuid Densities

　　10.4 Charged Bosom

　　10.4.1 Gross-Pitaevskii Equation

　　10.4.2 Vortices

　　10.4.3 Connection with Fluid Mechanics

　　11 Finite Temperature

　　11.1 Partition Functions

　　11.2 Worldlines

　　11.3 Matsubara Sums

　　12 Path Integrals

　　12.1 Quantum Mechanics of a Particle

　　12.1.1 Real Time

　　12.1.2 Euclidean Time

　　12.2 Gauge Invariance and Operator Ordering

　　12.3 Correlation Functions

　　12.4 Fields

　　12.5 Gaussian Integrals and Free Fields

　　12.5.1 Real Fields

　　12.5.2 Complex Fields

　　12.6 Perturbation Theory

　　13 Functional Methods

　　13.1 Generating Functionals

　　13.1.1 Effective Action

　　13.2 Ward Identities

　　13.2.1 Goldstone's Theorem

　　14 Path Integrals for Fermions

　　14.1 Berezin Integrals

　　14.1.1 A Simple Supersymmetry

　　14.2 Fermionic Coherent States

　　14.3 Superconductors

　　14.3.1 Effective Action

　　15 Lattice Field Theory

　　15.1 Boson Fields

　　15.2 Random Walks

　　15.3 Interactions and Bose Condensation

　　15.3.1 Rotational Invariance

　　15.4 Lattice Fermions

　　15.4.1 No Chiral Lattice Fermions

　　16 The Renormailzation Group

　　16.1 Transfer Matrices

　　16.1.1 Continuum Limit

　　16.1.2 Two-Dimensional Ising Model

　　16.2 Block Spins and Renormalization Group

　　16.2.1 Correlation Functions

　　17 Fields and Renormalization

　　17.1 The Free-Field Fixed Point

　　17.2 The Gaussian Model

　　17.3 General Method

　　17.4 Nonlinear o Model

　　17.4.1 Renormalizing

　　17.4.2 Solution of the RGE

　　17.5 Renormalizing

　　18 Large N Expansions

　　18.1 O(N) Linear a-Model

　　18.2 Large N Expansions

　　18.2.1 Linear vs. Nonlinear σ-Models

　　A Relativistic State Normalization

　　B The General Commutator

　　C Dimensional Regularization

　　C.I Analytic Continuation and Integrals

　　C.2 Propagators

　　D Spinors and the Principle of the Sextant

　　D.1 Constructing the λ-Matrices

　　D.2 Basic Theorem

　　D.3 Chirality

　　D.4 Spin(2N), Pin(2N), and SU(N) C SO(2N)

　　E Indefinite Metric

　　F Phonons and Momentum

　　G Determinants in Quantum Mechanics

　　Index