Abstract

SOUSA, A. G. de; BAGNATO, V. S.  and  SILVA, A. B. F. da. An analytical solution for the critical number of particles for stable bose-einstein condensation under the influence of an anisotropic potential. Braz. J. Phys. [online]. 2008, vol.38, n.1, pp. 104-107. ISSN 0103-9733.  http://dx.doi.org/10.1590/S0103-97332008000100020.

We have considered a Bose gas in an anisotropic potential. Applying the the Gross-Pitaevskii Equation (GPE) for a confined dilute atomic gas, we have used the methods of optimized perturbation theory and self-similar root approximants, to obtain an analytical formula for the critical number of particles as a function of the anisotropy parameter for the potential. The spectrum of the GPE is also discussed.

Keywords : Bose gas; Anisotropic potential; Critical number of particles; Optimized perturbation theory; critical coupling parameter.