%0 Journal Article %T An analytical solution for the critical number of particles for stable bose-einstein condensation under the influence of an anisotropic potential %A Sousa %A A. G. de %A Bagnato %A V. S. %A Silva %A A. B. F. da %J Brazilian Journal of Physics %D 2008 %I Scientific Electronic Library Online %R 10.1590/S0103-97332008000100020 %X 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. %K bose gas %K anisotropic potential %K critical number of particles %K optimized perturbation theory %K critical coupling parameter. %U http://www.scielo.br/scielo.php?script=sci_abstract&pid=S0103-97332008000100020&lng=en&nrm=iso&tlng=en