Lieb-Thirring Bounds for Interacting Bose Gases

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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.
OriginalsprogEngelsk
TidsskriftCommunications in Mathematical Physics
Vol/bind335
Udgave nummer2
Sider (fra-til)1019-1056
ISSN0010-3616
DOI
StatusUdgivet - 30 jan. 2015

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