FRACTIONAL STATISTICS AND QUANTUM THEORY
by Avinash Khare (Institute of Physics, India)
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 research workers with a reasonable background in quantum and statistical mechanics. The main emphasis will be on explaining new concepts.
Topics in the first part of the book includes the flux tube model of anyons, the braid group and quantum and statistical mechanics of noninteracting anyon gas.
The second part of the book provides a detailed discussion about fractional statistics from the point of view of Chern-Simons theories. Topics covered here includes Chern-Simons field theories, charged vortices, anyon superconductivity and the fractional quantum Hall effect.
A chapter will also be devoted to the recent topic of fractional exclusion statistics and the concepts will be illustrated with the example of the Calogero-Sutherland model.
Contents:
- Fractional Statistics in Two Dimensions
- Quantum Mechanics
of Anyons
- Statistical Mechanics of an Ideal Anyon Gas
- Fractional Exclusion Statistics
- Introduction to Chern-Simons Term
- Soliton as Anyon in Field Theories
- Anyons as Elementary Field Quanta
- Anyon Superconductivity
- Quantum Hall Effect and Anyons
- Omitted Topics
Readership: Condensed matter physicists, mathematical physicists and
materials scientists.
"This lucid monograph is highly recommended for those who want to do further research in the area as well as for those who are merely curious about this unusual aspect of quantum many-body physics."
"The overall style is clear and pedagogical, with emphasis on symmetry and simplicity ... I recommend this book for newcomers, graduate students and teachers who are interested in having an introduction to the topics of the book's title."
| Mathematical Reviews, 2002 |
| 324pp |
Pub. date: Mar 1998 |
