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A self-consistent mean-field theory for bosons for T>0 is used to reconcilepredictions of collapse with recent observations of Bose-Einstein condensationof 7Li. Eigenfunctions of a (non-separable) Hamiltonian that includes theanisotropic external trap field and atom-atom interactions are obtained by aniteration process. A sum over the Bose distribution, and the ``alternatingdirection implicit'' algorithm are used. Near Tc, the ensemble exhibits alocalized condensate composed of atoms in the few lowest states. For lower T,numerical instability indicates collapse to a more dense phase.Comment: 11 pages + 4 figure

physical review. a, atomic, molecular, and optical physics/physical review, a, atomic, molecular, and optical physics

Hartree-Fock calculations of Bose-Einstein condensation of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">Li</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>7</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>atomsin a harmonic trap for T&gt;0

Hartree-Fock calculations of Bose-Einstein condensation ofLi7atomsin a harmonic trap for T>0