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

Subhasis Sinha
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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 $\hbar$, 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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Subhasis Sinha. 1998-01-15. Quantum corrections to the thermodynamic potential of interacting Bosons in a trap. https://doi.org/10.1103/physreva.58.3159

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