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Anyons

Quantum Mechanics of Particles with Fractional Statistics

  • Book
  • © 1992

Overview

Authors:
  1. Alberto Lerda

    1. Dipartimento di Fisica Teorica, Universitá di Torino, Torino, Italy
      Institute for Theoretical Physics, State University of New York at Stony Brook, Stony Brook, USA

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Part of the book series: Lecture Notes in Physics Monographs (LNPMGR, volume 14)

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Table of contents (9 chapters)

  1. Front Matter

    Pages I-XII
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  2. Introduction

    Pages 1-3

  3. Introduction to Fractional Statistics in Two Dimensions

    Pages 5-21

  4. Fractional Statistics in the Chern-Simons Gauge

    Pages 23-38

  5. Fractional Statistics in the Anyon Gauge

    Pages 39-42

  6. Non-relativistic Chern-Simons Field Theory

    Pages 43-58

  7. Anyons in a Magnetic Field

    Pages 59-89

  8. Statistical Mechanics of Anyons

    Pages 91-107

  9. Anyons and the Fractional Quantum Hall Effect

    Pages 109-122

  10. Anyons and Conformal Field Theories

    Pages 123-131

  11. Back Matter

    Pages 133-138
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Keywords

About this book

Particles with fractional statistics interpolating between bosons and fermions have attracted considerable interest from mathematical physicists. In recent years it has emerged that these so-called anyons have rather unexpected applications, such as the fractional Hall effect, anyonic excitations in films of liquid helium, and high-temrperature superconductivity. Furthermore, they are discussed also in the context of conformal field theories. This book is a systematic and pedagogical introduction that considers the subject of anyons from many different points of view. In particular, the author presents the relation of anyons to braid groups and Chern-Simons field theory and devotes three chapters to physical applications. The book, while being of interest to researchers, primarily addresses advanced students of mathematics and physics.

Authors and Affiliations

  • Dipartimento di Fisica Teorica, Universitá di Torino, Torino, Italy

    Alberto Lerda

  • Institute for Theoretical Physics, State University of New York at Stony Brook, Stony Brook, USA

    Alberto Lerda

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