Two-Parameter Modifications of Anyonic Statistics

Authors

  • M. Ya. Hornetska Ivan Franko National University of Lviv, Chair of theoretical physics
  • A. A. Rovenchak Ivan Franko National University of Lviv, Chair of theoretical physics

DOI:

https://doi.org/10.15407/ujpe61.02.0168

Keywords:

fractional statistics, anyons, к-deformation, Polychronakos statistics, Haldane–Wu statistics, Gentile statistics

Abstract

Two-parameter models of fractional statistics aimed at finding an expression for the occupation numbers of free anyons have been considered. Virial coefficients are found for statistics of several types: к-deformed Polychronakos and Haldane–Wu statistics, Polychronakos and Haldane–Wu statistics modified with the q-exponential in the bosonic limit, and incomplete and nonadditive Gentile statistics for various level-filling maxima. A relation between the anyonic statistics and various statistics of fractional types is found and analyzed.

Published

2019-01-08

How to Cite

Hornetska, M. Y., & Rovenchak, A. A. (2019). Two-Parameter Modifications of Anyonic Statistics. Ukrainian Journal of Physics, 61(2), 168. https://doi.org/10.15407/ujpe61.02.0168

Issue

Section

General problems of theoretical physics