Mean-field effects in a trapped gas -: art. no. 033613

In this paper I investigate mean-field effects for a Bose gas harmonically trapped above the quantum transition temperature in the collisionless regime. I point out that these effects can play a role in low dimensional systems. My treatment relies on the Boltzmann equation with the inclusion of the mean-field term. I first discuss the equilibrium state then derive the dispersion relation for collective oscillations (monopole, quadrupole, and dipole modes) in D dimensions.