Bose-Einstein Condensation on Product Manifolds

Details Bose-Einstein Condensation on Product Manifolds Bose-Einstein Condensation on Product Manifolds

2011-05-31

arxiv.org/abs/1106.0038v1

J. Phys. A: Math. Theor. 44 (2011) 332002

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, LaTeX

Scientific paper

10.1088/1751-8113/44/33/332002

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 $\zeta$-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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