Akademik Veri Yönetim Sistemi
INTERNATIONAL JOURNAL OF MODERN PHYSICS B, cilt.26, sa.17, 2012 (SCI-Expanded)
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 alpha (a measure of fractality of space) has been established. The transition temperatures for the dilute Rb-87, Na-23 and Li-7 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 alpha < 1 attractive interactions and for alpha > 1 repulsive interactions are predominant.