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Lieb-Thirring Bounds for Interacting Bose Gases

Research output: Research - peer-reviewJournal article

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  • ArXiv pdf

    Accepted author manuscript, 394 KB, PDF-document

Douglas Lundholm, Fabian Portmann, Jan Philip Solovej

We study interacting Bose gases and prove lower bounds for the kinetic plus interaction energy of a many-body wave function in terms of its particle density. These general estimates are then applied to various types of interactions, including hard sphere (in 3D) and hard disk (in 2D) as well as a general class of homogeneous potentials.
Original languageEnglish
JournalCommunications in Mathematical Physics
Volume335
Issue number2
Pages (from-to)1019-1056
ISSN0010-3616
DOIs
StatePublished - 30 Jan 2015

    Research areas

  • math-ph, cond-mat.quant-gas, math.MP, math.SP, 81Q10, 35P15, 46N50

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