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The density distribution of a weakly interacting bose gas in an external potential
Authors:David A. Huse  Eric D. Siggia
Affiliation:(1) Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York
Abstract:The Gross-Pitaevskii equations are generalized to finite temperatures by means of the self-consistent Hartree-Fock and Bogolyubov approximations that are derived through a variational principle for the optimal set of one-particle eigenstates. A number of sample density profiles are provided for spin-polarized atomic hydrogen when the external potential depends on thez coordinate onlySupported by the National Science Foundation under grant # DMR-80-20429 and by the Sloan Foundation.
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