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The Ground State Energy of the Weakly Interacting Bose Gas at High Density

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Abstract

We prove the Lee-Huang-Yang formula for the ground state energy of the 3D Bose gas with repulsive interactions described by the exponential function, in a simultaneous limit of weak coupling and high density. In particular, we show that the Bogoliubov approximation is exact in an appropriate parameter regime, as far as the ground state energy is concerned.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università degli Studi Roma Tre, L.go S.L. Murialdo 1, 00146, Roma, Italy

    Alessandro Giuliani

  2. Department of Physics, Princeton University, Princeton, NJ, 08544, USA

    Robert Seiringer

Authors
  1. Alessandro Giuliani
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  2. Robert Seiringer
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Correspondence to Alessandro Giuliani.

Additional information

Dedicated with best wishes to Édouard Brézin and to Giorgio Parisi on the occasion of their 70th and 60th birthdays.

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Giuliani, A., Seiringer, R. The Ground State Energy of the Weakly Interacting Bose Gas at High Density. J Stat Phys 135, 915–934 (2009). https://doi.org/10.1007/s10955-009-9718-0

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  • DOI: https://doi.org/10.1007/s10955-009-9718-0

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