Bose-Einstein condensation of an ideal Bose gas trapped in any dimension

The properties of a trapped ideal Bose gas in n-dimensional space are studied. General analytic expressions of the critical temperature Tc of Bose-Einstein condensation, the jump of heat capacity at Tc and the fraction of condensation at temperatures below have been derived. How these physical quantities depend on the external potential, particle characteristics and space dimensionality are discussed. We find that when a proper external potential is taken, Bose-Einstein condensation may occur in any dimensional space. (author)