Eur. Phys. J. B 14, 691-698 (2000)
https://doi.org/10.1007/s100510051080

Exact and approximate results of non-extensive quantum statistics

¹ Centro Brasileiro de Pesquisas Fisicas, Rua Dr. Xavier Sigaud 150, 22290-180 Rio de Janeiro, Brazil
² Department of Physics, Faculty of Science, Ege University 35100 Izmir-Turkey
³ Departamento de Física, Universidad Nacional de La Plata, C.C. 67, 1900, La Plata, Buenos Aires, Argentina

Received: 19 August 1999
Revised: 1 November 1999
Published online: 15 April 2000

Abstract

We develop an analytical technique to derive explicit forms of thermodynamical quantities within the asymptotic approach to non-extensive quantum distribution functions. Using it, we find an expression for the number of particles in a boson system which we compare with other approximate scheme (i.e. factorization approach), and with the recently obtained exact result. To do this, we investigate the predictions on Bose-Einstein condensation and the blackbody radiation. We find that both approximation techniques give results similar to (up to O(q-1)) the exact ones, making them a useful tool for computations. Because of the simplicity of the factorization approach formulae, it appears that this is the easiest way to handle with physical systems which might exhibit slight deviations from extensivity.