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The kinetic and interaction energies of a trapped Bose gas: beyond the mean field

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Cherny,  Alexander Y.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Cherny, A. Y., & Shanenko, A. (2002). The kinetic and interaction energies of a trapped Bose gas: beyond the mean field. Physics Letters. A, 293(5-6): PII S0375-9601(02)00017-8, pp. 287-292. doi:10.1016/S0375-9601(02)00017-8.


Cite as: https://hdl.handle.net/21.11116/0000-0010-51AA-3
Abstract
The kinetic and interaction energies of a three-dimensional (3D) dilute ground-state Bose gas confined in a trap are calculated beyond a mean-field treatment. They are found to depend on the pairwise interaction trough two characteristic lengths: the first, a, is the well-known scattering length and the second, b, is related to the latter by b = a - lambdapartial derivativea/partial derivativelambda with lambda being the coupling constant. Numerical estimations show that the pairwise interaction energy of a dilute gas of alkali atoms in a trap is negative (in spite of the positive scattering length); its absolute value is found by about the order of magnitude larger than that of the mean-field interaction energy that corresponds to the last term in the Gross-Pitaevskii (GP) functional. (C) 2002 Published by Elsevier Science B.V.