Quantum corrections to the thermodynamic potential of interacting Bosons in a trap

Abstract

We calculate the quantum corrections of the thermodynamic quantities of a system of confined Bosons at finite temperature. Systematically quantum corrections are written in a series of $\hslash$, which is convergent when $kT$ is much larger than the spacing between energy levels of the system. We apply this method to calculate analytically the thermodynamic potential of a weakly interacting Bose-gas confined in 3-d harmonic oscillator potential. For large number of particles, quantum corrections become small, and contribute to the finite size corrections to scaling.

RevTEX file (4 pages), 2 .eps figures included

References in corpus (5)

• Optical Confinement of a Bose-Einstein Condensate
• Collective and single particle excitations of a trapped Bose gas
• Scaling and thermodynamics of a trapped Bose-condensed gas
• Classical quasi-particle dynamics in trapped Bose condensates
• The Energy of a Trapped Interacting Bose Gas

Cited by in corpus (1)

• Semiclassical Hartree-Fock theory of a rotating Bose-Einstein condensation