Bose-Einstein Condensation of Confined Atomic Gases at Ultra Low Temperatures

M. Serhan

Abstract


In this work I solve the Gross-Pitaevskii equation describing an atomic gas confined in an isotropic harmonic trap by introducing a variational wavefunction of Gaussian type. The chemical potential of the system is calculated and the solutions are discussed in the weakly and strongly interacting regimes. For the attractive system with negative scattering length the maximum number of atoms that can be put in the condensate without collapse begins is calculated.


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DOI: https://doi.org/10.5539/apr.v9n5p96

Copyright (c) Mohammed Serhan

License URL: http://creativecommons.org/licenses/by/4.0

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