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Fractional Statistics and Anyon Superconductivity

Fractional Statistics and Anyon Superconductivity
Author: Frank Wilczek
Publisher: World Scientific
Total Pages: 462
Release: 1990
Genre: Technology & Engineering
ISBN: 9789810200497

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Part I: Concepts in fractional statistics, part II: States of anyon matter, part III: Reprinted papers


Fractional Statistics and Quantum Theory

Fractional Statistics and Quantum Theory
Author: Avinash Khare
Publisher: World Scientific
Total Pages: 316
Release: 2005
Genre: Science
ISBN: 9812561609

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This book explains the subtleties of quantum statistical mechanics in lower dimensions and their possible ramifications in quantum theory. The discussion is at a pedagogical level and is addressed to both graduate students and advanced researchers with a reasonable background in quantum and statistical mechanics.Topics in the first part of the book include the flux tube model of anyons, the braid group and a detailed discussion about the various aspects of quantum and statistical mechanics of a noninteracting anyon gas.The second part of the book includes a detailed discussion about fractional statistics from the point of view of Chern-Simons theories. Topics covered here include Chern-Simons field theories, charged vortices, anyon superconductivity and the fractional quantum Hall effect.Since the publication of the first edition of the book, an exciting possibility has emerged, that of quantum computing using anyons. A section has therefore been included on this topic in the second edition. In addition, new sections have been added about scattering of anyons with hard disk repulsion as well as fractional exclusion statistics and negative probabilities.


Anyons

Anyons
Author: Alberto Lerda
Publisher: Springer Science & Business Media
Total Pages: 143
Release: 2008-09-11
Genre: Science
ISBN: 3540474668

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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.


Physics and Mathematics of Anyons

Physics and Mathematics of Anyons
Author: Shiing-Shen Chern
Publisher: World Scientific Publishing Company Incorporated
Total Pages: 322
Release: 1991-01-01
Genre: Anyon superconductivity
ISBN: 9789810207229

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Physics and Mathematics of Anyons

Physics and Mathematics of Anyons
Author: Shiing-Shen Chern
Publisher: World Scientific Publishing Company
Total Pages: 348
Release: 1991
Genre: Anyon superconductivity
ISBN:

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In this volume, the fractional quantum Hall effect is reviewed and reexamined with emphasis on the fractional statistics. Possible relevance of the anyon idea to high temperature superconductivity is addressed both theoretically and experimentally.


Physics And Mathematics Of Anyons - Proceedings Of The Tcsuh Workshop

Physics And Mathematics Of Anyons - Proceedings Of The Tcsuh Workshop
Author: C S Ting
Publisher: World Scientific
Total Pages: 339
Release: 1991-06-14
Genre:
ISBN: 9814556238

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In this volume, the fractional quantum Hall effect is reviewed and reexamined with emphasis on the fractional statistics. Possible relevance of the anyon idea to high temperature superconductivity is addressed both theoretically and experimentally.


The Hubbard Model And Anyon Superconductivity

The Hubbard Model And Anyon Superconductivity
Author: Aiyalam P Balachandran
Publisher: World Scientific
Total Pages: 148
Release: 1990-11-30
Genre: Science
ISBN: 9814506664

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Several different models have recently been proposed to explain High Temperature Superconductivity. This book gives an authoritative and up-to-date review of two such proposals, namely the Hubbard and Anyon Models. This invaluable reference is a must for all physicists interested in the fast-paced revolutionary field of High Temperature Superconductivity.


Fractional Statistics and Quantum Theory

Fractional Statistics and Quantum Theory
Author: Avinash Khare
Publisher: World Scientific
Total Pages: 316
Release: 2005
Genre: Science
ISBN: 9812567755

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This book explains the subtleties of quantum statistical mechanics in lower dimensions and their possible ramifications in quantum theory. The discussion is at a pedagogical level and is addressed to both graduate students and advanced researchers with a reasonable background in quantum and statistical mechanics. Topics in the first part of the book include the flux tube model of anyons, the braid group and a detailed discussion about the various aspects of quantum and statistical mechanics of a noninteracting anyon gas. The second part of the book includes a detailed discussion about fractional statistics from the point of view of ChernOCoSimons theories. Topics covered here include ChernOCoSimons field theories, charged vortices, anyon superconductivity and the fractional quantum Hall effect. Since the publication of the first edition of the book, an exciting possibility has emerged, that of quantum computing using anyons. A section has therefore been included on this topic in the second edition. In addition, new sections have been added about scattering of anyons with hard disk repulsion as well as fractional exclusion statistics and negative probabilities."


Fractional Statistics And Quantum Theory (2nd Edition)

Fractional Statistics And Quantum Theory (2nd Edition)
Author: Avinash Khare
Publisher: World Scientific
Total Pages: 316
Release: 2005-02-02
Genre: Science
ISBN: 9814480967

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This book explains the subtleties of quantum statistical mechanics in lower dimensions and their possible ramifications in quantum theory. The discussion is at a pedagogical level and is addressed to both graduate students and advanced researchers with a reasonable background in quantum and statistical mechanics.Topics in the first part of the book include the flux tube model of anyons, the braid group and a detailed discussion about the various aspects of quantum and statistical mechanics of a noninteracting anyon gas.The second part of the book includes a detailed discussion about fractional statistics from the point of view of Chern-Simons theories. Topics covered here include Chern-Simons field theories, charged vortices, anyon superconductivity and the fractional quantum Hall effect.Since the publication of the first edition of the book, an exciting possibility has emerged, that of quantum computing using anyons. A section has therefore been included on this topic in the second edition. In addition, new sections have been added about scattering of anyons with hard disk repulsion as well as fractional exclusion statistics and negative probabilities.