Ground state of Bose gases interacting through singular potentials

Lea Boßmann; Nikolai Leopold; Sören Petrat; Simone Rademacher

Ground state of Bose gases interacting through singular potentials

Mathematical Physics 2023-11-20 v2 math.MP

Authors: Lea Boßmann , Nikolai Leopold , Sören Petrat , Simone Rademacher

Abstract

We consider a system of $N$ bosons on the three-dimensional unit torus. The particles interact through repulsive pair interactions of the form $N^{3\beta-1} v (N^\beta x)$ for $\beta \in (0,1)$ . We prove the next order correction to Bogoliubov theory for the ground state and the ground state energy.

Keywords

bose gases ground state singular potentials bogoliubov theory three-dimensional torus repulsive interactions

Cite

@article{arxiv.2309.12233,
  title  = {Ground state of Bose gases interacting through singular potentials},
  author = {Lea Boßmann and Nikolai Leopold and Sören Petrat and Simone Rademacher},
  journal= {arXiv preprint arXiv:2309.12233},
  year   = {2023}
}

Comments

v1: 50 pages; v2: 61 pages, including an explicit computation of the energy correction

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