Fractional statistics and quantum theory

Fractional statistics and quantum theory
Author(s): Avinash Khare
Collection:
Publisher: World Scientific
Year: 2005
Language: English
Pages: 315 pages
Size: 2.45 MB
Extension: DJVU


[tab] [content title="Description"]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. [/content] [content title="Content"] [/content] [content title="About the author"]Khare Avinash, Indian Physicist, researcher. Recipient Young Scientist award Homi Bhabha Fellow Council, 1993; associateship International Center Theoretical Physics (Italy), 1995. Member Plasma Science Society of India. [/content] [/tab]

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