Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2001-11-29
Physical Review A Vol 66, 033613 (2002)
Physics
Condensed Matter
Statistical Mechanics
4 pages, no figure submitted to Phys. Rev. A
Scientific paper
10.1103/PhysRevA.66.033613
In this article, we investigate mean field effects for a bosonic gas harmonically trapped above the transition temperature in the collisionless regime. We point out that those effects can play also a role in low dimensional system. Our treatment relies on the Boltzmann equation with the inclusion of the mean field term. The equilibrium state is first discussed. The dispersion relation for collective oscillations (monopole, quadrupole, dipole modes) is then derived. In particular, our treatment gives the frequency of the monopole mode in an isotropic and harmonic trap in the presence of mean field in all dimensions.
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