1202.3806 (E. Castellanos et al.)

Modified Bosonic Gas Trapped in a Generic 3-dim Power Law Potential    [PDF]

E. Castellanos, C. Laemmerzahl

We analyze the consequences caused by an anomalous single-particle dispersion
relation suggested in several quantum-gravity models, upon the thermodynamics
of a Bose-Einstein gas trapped in a generic 3-dimensional power-law potential,
within the semiclassical approximation. We show that the critical temperature
must be corrected as a consequence of such deformation in the dispersion
relation. Additionally, we prove that this shift in the critical temperature,
in three different scenarios, namely, the thermodynamic limit, systems with a
finite number of particles, and in a weakly interacting systems, can be
described as a non-trivial function of the number of particles and the trap
parameters. In other words, an appropriate manipulation of the number of
particles, together with an adequate choice of the trap parameters, could be
used, in principle, to enhance some quantum gravity manifestations.

View original: http://arxiv.org/abs/1202.3806