Lieb-Thirring Bounds for Interacting Bose Gases

Douglas Lundholm; Fabian Portmann; Jan Philip Solovej

doi:10.1007/s00220-014-2278-4

Lieb-Thirring Bounds for Interacting Bose Gases

Douglas Lundholm, Fabian Portmann, Jan Philip Solovej

Department of Mathematical Sciences

Research output: Contribution to journal › Journal article › Research › peer-review

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Abstract

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 language	English
Journal	Communications in Mathematical Physics
Volume	335
Issue number	2
Pages (from-to)	1019-1056
ISSN	0010-3616
DOIs	https://doi.org/10.1007/s00220-014-2278-4
Publication status	Published - 30 Jan 2015

Keywords

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

Access to Document

10.1007/s00220-014-2278-4

ArXiv pdfAccepted author manuscript, 394 KB

Cite this

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abstract = "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.",

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AU - Portmann, Fabian

AU - Solovej, Jan Philip

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AB - 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.

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KW - math.SP

KW - 81Q10, 35P15, 46N50

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