Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Any: 2015, Tutor: Bruno Juliá-Díaz
In this degree thesis we study the properties of a Bose-Einstein condensate confined in both isotropic and anisotropic traps using a mean-field description in terms of the Gross-Pitaevskii equation and modified Gross-Pitaevskii equation. We also study the many particle limit and compare it with the Thomas-Fermi limits. Finally we study the aspect ratio of the system and see how it changes for the noninteracting limit and the strong repulsive limit.