Volume 87, Number 6, September 2009
Article Number 60009
Number of page(s) 4
Section General
Published online 12 October 2009
EPL, 87 (2009) 60009
DOI: 10.1209/0295-5075/87/60009

The fractional exclusion statistics amended

D. V. Anghel

Department of Theoretical Physics, National Institute for Physics and Nuclear Engineering “Horia Hulubei” Str. Atomistilor No. 407, P.O. BOX MG-6, Bucharest - Magurele, Romania, EU

received 26 June 2009; accepted in final form 14 September 2009; published September 2009
published online 12 October 2009

I amend the concept of fractional exclusion statistics (FES) by introducing new conditions that make the formalism logically —and therefore physically— consistent. These conditions are imposed on the exclusion statistics parameters, defining how the parameters change if the species of particles in the system are divided into sub-species. Using a simple and intuitive model I deduce the general equations for the change of the exclusion statistics parameters at the redefinition of the particle species in any FES system.

05.30.-d - Quantum statistical mechanics.
05.30.Ch - Quantum ensemble theory.
05.30.Pr - Fractional statistics systems (anyons, etc.).

© EPLA 2009