arXiv:cond-mat/9604031 · Physical Review A
Bose-Einstein condensation of atomic gases in a general harmonic-oscillator confining potential trap
Klaus Kirsten, David J. Toms
Abstract
We present an analysis of Bose-Einstein condensation for a system of noninteracting spin-0 particles in a harmonic-oscillator confining potential trap. We discuss why a confined system of particles differs both qualitatively and quantitatively from an identical system which is not confined. One crucial difference is that a confined system is not characterized by a critical temperature in the same way as an unconfined system such as the free boson gas. We present the results of both a numerical and analytic analysis of the problem of Bose-Einstein condensation in a general anisotropic harmonic-oscillator confining potential. \textcopyright{} 1996 The American Physical Society.