Preface to the Second Edition -- Preface -- Contents -- Chapter 1 Introduction -- 1.1 Historical Review -- 1.2 Plan of the Book -- References -- Chapter 2 Fractional Statistics in Two Dimensions -- 2.1 Introduction -- 2.2 Why Fractional Spin? -- 2.3 Why Fractional Statistics? -- Quantum Statistics in One Dimension -- 2.4 Basic Properties of Anyons -- 2.5 Flux Tube Model of Anyons -- Dynamical Realization of the Statistical Interaction -- Anyon Gauge vs. Magnetic Gauge -- 2.6 The Braid Group -- References -- Chapter 3 Quantum Mechanics of Anyons -- 3.1 Introduction -- 3.2 Two Noninteracting Anyons -- Two anyons in a circular box with hard walls -- 3.3 Two Anyons in an Oscillator Potential -- 3.4 Two Anyons in a Uniform Magnetic Field -- Two Anyons in Magnetic Field with Harmonic Attraction -- 3.5 Magnetic Field with Coulomb Repulsion -- 3.6 Scattering of Two Anyons in Coulomb Field -- 3.7 Scattering of Two Anyons with Hard-Disk Repulsion -- 3.8 N Anyons in an Oscillator Potential -- 3.9 Three-Anyon Ground State -- Radial Excitations -- 3.10 General Results for N Anyons -- 3.11 N Anyons Experiencing a N-body Potential -- 3.12 N Anyons in a Uniform Magnetic Field -- Three-Anyons in a Uniform Magnetic Field Plus an Oscillator Potential -- 3.13 Pseudo-Integrability of N Anyon System -- 3.14 Quantum Computing and Anyons -- References -- Chapter 4 Statistical Mechanics of an Ideal Anyon Gas -- 4.1 Introduction -- 4.2 Ideal Fermi Gas in Two Dimensions -- 4.3 Ideal Bose Gas in Two Dimensions -- 4.4 Ideal Anyon Gas: Second Virial Coefficient -- a2( ) using oscillator as a regulator -- a2( ) using Semi-classical Approximation -- Second Virial Coefficient for Anyons with Hard-disk Repulsion -- 4.5 Ideal Anyon Gas: Third Virial Coefficient -- Some Exact Results for a3( ) -- a3( ) within Semi-classical Approximation.

4.6 Ideal Anyon Gas: Higher Virial Coefficients -- References -- Chapter 5 Fractional Exclusion Statistics -- 5.1 Introduction -- 5.2 Distribution Function -- 5.3 Thermodynamics of an Ideal Gas -- Constant Density of States -- Low Temperature and High Density -- High Temperature and Low Density -- Ideal Gas with D -- Low Density and High Temperature -- High density and low temperature -- General Remarks -- 5.4 Negative Probabilities -- 5.5 Gentile Statistics -- High Temperature, Low Density -- High Density, Low Temperature -- 5.6 New Fractional Exclusion Statistics -- High Temperature, Low Density -- References -- Chapter 6 Introduction to the Chern-Simons Term -- 6.1 Introduction -- 6.2 What is the Chern-Simons Term? -- 6.3 Gauge Invariant Mass Term -- 6.4 Behavior Under C, P, and T -- 6.5 Coleman-Hill Theorem -- 6.6 Magneto-Electric Effect -- 6.7 Chern-Simons Term by SSB -- 6.8 Lorentz Invariance from Gauge Invariance -- 6.9 Quantization of Chern-Simons Mass -- 6.10 Parity Anomaly -- 6.11 Topological Field Theory -- References -- Chapter 7 Soliton as Anyon in Field Theories -- 7.1 Introduction -- 7.2 Charged Vortex Solutions -- Unusual Higgs Mechanism -- Vortex-Vortex Interaction -- Fermion-Charged Vortex Interaction -- Non-abelian Charged Vortex Solutions -- 7.3 Relativistic Chern-Simons Vortices -- Topological Self-dual Solutions -- Non-topological Self-dual Solutions -- Interaction Between Self-Dual Chern-Simons Vortices -- Semi-Local Self-Dual Chern-Simons Vortices -- 7.4 Non-relativistic Chern-Simons Vortices -- Dynamical Symmetries of the Non-relativistic system -- 7.5 CP1 Solitons with Hopf Term -- References -- Chapter 8 Anyons as Elementary Field Quanta -- 8.1 Introduction -- 8.2 Non-relativistic Field Theories -- 8.3 Relativistic Field Theories -- Group Theory Aspects -- Wave Equation For Anyons -- Fundamental Fields as Anyons.

References -- Chapter 9 Anyon Superconductivity -- 9.1 Introduction -- 9.2 Mean Field Theory -- 9.3 The Random Phase Approximation -- 9.4 The Effective Lagrangian -- 9.5 Anyons and High-Tc Superconductivity -- 9.6 Anyon Metal -- References -- Chapter 10 Quantum Hall Effect and Anyons -- 10.1 Introduction -- 10.2 The Landau Levels -- 10.3 Basics of Quantum Hall Effect -- 10.4 Trial Wave Function and Anyons -- Laughlin's Trial Wave Function -- Analogy with classical plasma -- Computation of Charge -- Computation of Statistics -- Hierarchy Scheme -- 10.5 Mean Field Theory -- References -- Chapter 11 Omitted Topics -- References -- Index.