Shell shaped Bose-Einstein condensation in microgravity

Motivated by the expected realization of a shell shaped BEC in microgravity I studied the thermodynamics of bosonic quantum gases confined on the surface of a sphere both in the ideal and in the interacting case. In particular, once I found the values of the parameters of the external potential that are such to confine the gas to the surface of a sphere I computed the critical temperature as a function of the total number of atoms, the condensate and the thermal density as a function of the radius both in the ideal and interacting case and finally also the condensate and thermal fraction are computed.