Anyons: Quantum Mechanics of Particles with Fractional Statistics

ISBN-13: 9783662138984 / Angielski / Miękka / 2014 / 140 str.

Alberto Lerda

Opis

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.

Spis treści

to Fractional Statistics in Two Dimensions.- Fractional Statistics in the Chern-Simons Gauge.- Fractional Statistics in the Anyon Gauge.- Non-relativistic Chern-Simons Field Theory.- Anyons in a Magnetic Field.- Statistical Mechanics of Anyons.- Anyons and the Fractional Quantum Hall Effect.- Anyons and Conformal Field Theories.