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Lieb-Thirring Bounds for Interacting Bose Gases

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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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Authors and Affiliations

  1. KTH Royal Institute of Technology, Stockholm, Sweden

    D. Lundholm & F. Portmann

  2. University of Copenhagen, Copenhagen, Denmark

    J. P. Solovej

Authors
  1. D. Lundholm
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  2. F. Portmann
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  3. J. P. Solovej
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Correspondence to D. Lundholm.

Additional information

Communicated by M. Salmhofer

D.L. is supported by the Grant KAW 2010.0063 from the Knut and Alice Wallenberg Foundation and the Swedish Research Council Grant no. 2013-4734. F.P. was supported by the Swedish Research Council grant no. 2012-3864. J.P.S. is supported by the ERC AdvGrant Project no. 321029.

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Lundholm, D., Portmann, F. & Solovej, J.P. Lieb-Thirring Bounds for Interacting Bose Gases. Commun. Math. Phys. 335, 1019–1056 (2015). https://doi.org/10.1007/s00220-014-2278-4

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  • DOI: https://doi.org/10.1007/s00220-014-2278-4

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