BOSE-EINSTEIN CONDENSATION IN ANISOTROPIC HARMONIC TRAPS

We study the thermodynamic behavior of an ideal gas of bosons trapped in a three-dimensional anisotropic harmonic-oscillator potential. The condensate fraction as well as the specific heat is calculated using t he Euler-Maclaurin approximation. For a finite number of particles the re is no phase transition, but there is a well-defined temperature al which the condensation starts. We also consider condensation in lower dimensions, and, for one-dimensional systems, we discuss the dependenc e of the condensate fraction and heat capacity on the ensemble used.