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

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

1998-01-15

arxiv.org/abs/cond-mat/9801162v1

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

10.1103/PhysRevA.58.3159

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 $\hbar$, 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.

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