The TF Limit for Rapidly Rotating Bose Gases in Anharmonic Traps

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dc.creatorBru, J. -B.
dc.creatorCorreggi, M.
dc.creatorPickl, P.
dc.creatorYngvason, J.
dc.date2007-05-08
dc.date.accessioned2026-07-07T09:45:08Z
dc.date.available2026-07-07T09:45:08Z
dc.descriptionStarting from the full many body Hamiltonian we derive the leading order energy and density asymptotics for the ground state of a dilute, rotating Bose gas in an anharmonic trap in the ` Thomas Fermi' (TF) limit when the Gross-Pitaevskii coupling parameter and/or the rotation velocity tend to infinity. Although the many-body wave function is expected to have a complicated phase, the leading order contribution to the energy can be computed by minimizing a simple functional of the density alone.
dc.identifierhttps://arxiv.org/abs/0705.1107
dc.identifierhttp://arxiv.org/abs/0705.1107
dc.identifierCommun. Math. Phys. 280, pp 517-544 (2008)
dc.identifierdoi:10.1007/s00220-008-0455-z
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163102
dc.subjectMathematical Physics
dc.subjectOther Condensed Matter
dc.subject35Q55, 47J30, 76M23
dc.titleThe TF Limit for Rapidly Rotating Bose Gases in Anharmonic Traps
dc.typetext

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