分数统计与量子理论

　　Sometime in early 1994， I received a letter from World Scientific， Singapore， inviting me to write a book on anyons. That made me think about the whole thing. Initially I was not sure if I should spend about two years of my research career in such a venture. At that time I went through the literature on this field and I had a careful look at the only monograph on this subject by Lerda as well as the book on anyon superconductivity edited by Wilczek. While I liked parts of these books （and their influence is apparent in parts of the book）， I also felt that our perceptions are some what different. Having worked on both the non-relativistic as well as the relativistic anyon models， I was finally convinced that perhaps the time had come to accept this opportunity and put forward my point of view and hence this book.本书为英文版。

暂缺《分数统计与量子理论》作者简介

1.Introduction
1.1HistoricalReview
1.2PlanoftheBook
FractionalStatisticsinTwoDimensions
2.1Introduction
2.2WhyFractionalSpin?
2.3WilyFractionalStatistics?
2.4BasicPropertiesofAnyons
2.5FluxTubeModelofAnyons
2.6TheBraidGroup
3QuantumMechanicsofAnyons
3.1Introduction
3.2TwoNoninteractingAnyons
3.3TwoAnyonsinanOscillatorPotential
3.4TwoAnyonsinaUniformMagneticField
3.5MagneticFieldwithCoulombRepulsion
3.6ScatteringofTwoAnyonsinCoulombField
3.7NAnyonsinanOscillatorPotential
3.8ThreeAnyonGroundState
3.9GeneralResultsforNAnyons
3.10NAnyonsExperiencingaN-bodyPotential
3.11NAnyonsinaUniformMagneticField
3.12Pseudo-IntegrabilityofNAnyonsystem
StatisticalMechanicsofanIdealAnyonGas
4.1Introduction
4.2IdealFermiGasinTwoDimensions
4.3IdealBoseGasinTwoDimensions
4.4IdealAnyonGas:SecondVirialCoefficient
4.5IdealAnyonGas:ThirdVirialCoefficient
4.6IdealAnyonGas:HigherVirialCoefficients
5FractionalExclusionStatistics
5.1Introduction
5.2DistributionFunction
5.3ThermodynamicsofanIdealGas
5.4GentileStatistics
5.5NewFractionalExclusionStatistics
6IntroductiontoChern-SimonsTerm
6.1Introduction
6.2WhatisChern-SimonsTerm?
6.3GaugeInvariantMassTerm
6.4BehaviorUnderC,P,andT
6.5Coleman-HillTheorem
6.6Magneto-ElectricEffect
6.7Chern-SimonsTermbySSB
6.8LorentzInvarianceFromGaugeInvariance
6.9QuantizationofChern-SimonsMass
6.10ParityAnomaly
6.11TopologicalFieldTheory
7SolitonasAnyoninFieldTheories
7.1Introduction
7.2ChargedVortexSolutions
7.3RelativisticChern-SimonsVortices
7.4Non-relativisticChern-SimonsVortices
7.5CP1SolitonsWithHopfTerm
8AnyonsasElementaryFieldQuanta
8.1Introduction
8.2Non-relativisticFieldTheories
8.3RelativisticFieldTheories
9AnyonSuperconductivity
9.1Introduction
9.2MeanFieldTheory
9.3TheRandomPhaseApproximation
9.4TheEffectiveLagrangian
9.5AnyonsandHigh-ToSuperconductivity
9.6AnyonMetal
10QuantumHallEffectandAnyons
10.1Introduction
10.2TheLandaulevels
10.3BasicsofQuantumHallEffect
10.4TrialWavefunctionandAnyons
10.5MeanFieldTheory
11OmittedTopics