Bose - Einstein condensation and thermodynamics of a finite number of bosons confined in a harmonic trap

Abstract

We considered a system of N bosons confined in a three-dimensional isotropic harmonic trap. These particles undergo BoseEinstein condensation under a critical temperature Tc. We calculated the condensate fraction as a function of Temperature. Furthermore, the energy of the system and the specific heat capacity are calculated for both normal and condensed phases. Finally, we calculated the entropy of the confined bosons. PACS: 05.30.Jp; 05.70.−a; 05.70.Ce; 05.70.Fh