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arXiv · 1209.3392

Casimir effect of an ideal Bose gas trapped in a generic power-law potential

Tongling Lin·Guozhen Su·Qiuping A. Wang·Jincan Chen
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Abstract

The Casimir effect of an ideal Bose gas trapped in a generic power-law potential and confined between two slabs with Dirichlet, Neumann, and periodic boundary conditions is investigated systematically, based on the grand potential of the ideal Bose gas, the Casimir potential and force are calculated. The scaling function is obtained and discussed. The special cases of free and harmonic potentials are also discussed. It is found that when T Tc, the Casimir force is an exponential decay function; and when T>>Tc, the Casimir force vanishes.

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Tongling Lin, Guozhen Su, Qiuping A. Wang, Jincan Chen. 2012-09-15. Casimir effect of an ideal Bose gas trapped in a generic power-law potential. https://doi.org/10.1209/0295-5075%2F98%2F40010

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