Thermodynamic Properties of a Trapped Interacting Bose Gas
  A Bose gas in an external potential is studied by means of the local density approximation. Analytical results are derived for the thermodynamic properties of an ideal Bose gas in a generic power-law trapping potential, and their dependence on the mutual interaction of atoms in the case of a non-ideal Bose gas. 
Hualin Shi and Wei-Mou Zheng