FRACTIONAL MATHEMATICAL INVESTIGATION OF BOSE-EINSTEIN CONDENSATION IN DILUTE Rb-87, Na-23 AND Li-7 ATOMIC GASES
Makaleler > Tam Makale · 2012
Yazarlar: Huseyin ERTİK, Hüseyin ŞİRİN, Dogan DEMIRHAN, FEVZİ BÜYÜKKILIÇ
INTERNATIONAL JOURNAL OF MODERN PHYSICS B, SCI Expanded İndekslerine Giren Dergi, Uluslararası, 2012, cilt 26, ss 1250096-1250096
DOI: 10.1142/s0217979212500968
Özet
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.