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arXiv · 1106.0038

Bose-Einstein Condensation on Product Manifolds

Guglielmo Fucci·Klaus Kirsten
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Abstract

We investigate the phenomenon of Bose-Einstein condensation on manifolds constructed as a product of a three-dimensional Euclidian space and a general smooth, compact $d$-dimensional manifold possibly with boundary. By using spectral $ζ$-function methods, we are able to explicitly provide thermodynamical quantities like the critical temperature and the specific heat when the gas of bosons is confined, in the three-dimensional manifold, by the experimentally relevant anisotropic harmonic oscillator potential.

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Guglielmo Fucci, Klaus Kirsten. 2011-05-31. Bose-Einstein Condensation on Product Manifolds. https://doi.org/10.1088/1751-8113/44/33/332002

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