FRACTIONAL MATHEMATICAL INVESTIGATION OF BOSE–EINSTEIN CONDENSATION IN DILUTE 87 Rb , 23 Na AND 7 Li ATOMIC GASES
Articles > Article · 2012
Authors: Huseyin ERTİK, Hüseyin ŞİRİN, Dogan DEMIRHAN, FEVZİ BÜYÜKKILIÇ
International Journal of Modern Physics B, Journal Indexed in SCI Expanded, International, WoS, 2012, vol 26, pp 1250096-1250096
DOI: 10.1142/s0217979212500968
Summary
Although atomic Bose gases are experimentally investigated in the dilute regime, interparticle interactions play an important role on the transition temperatures of Bose–Einstein condensation. In this study, Bose–Einstein condensation is handled using fractional calculus for a Bose gas consisting of interacting bosons which are trapped in a three-dimensional harmonic oscillator. In this frame, in order to introduce the nonextensive effect, fractionally generalized Bose–Einstein distribution function which features Mittag–Leffler function is adopted. The dependence of the transition temperature of Bose–Einstein condensation on α (a measure of fractality of space) has been established. The transition temperatures for the dilute 87 Rb , 23 Na and 7 Li atomic gases have been obtained in consistent with experimental data and the nature of the interactions in the Bose–Einstein condensate has been enlightened. In the course of our investigations, we have arrived to the conclusion that for α < 1 attractive interactions and for α > 1 repulsive interactions are predominant.