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On the Weakness of Short-Range Interactions in Fermi Gases

Mathematical Physics 2023-01-02 v2 Quantum Gases math.MP

Abstract

Ultracold quantum gases of equal spin fermions with short range interactions are often considered free even in the presence of strongly binding spin-up-spin-down pairs. We describe a large class of many-particle Schr\"odinger operators with short-range pair interactions, where this approximation can be justified rigorously.

Keywords

Cite

@article{arxiv.2201.04362,
  title  = {On the Weakness of Short-Range Interactions in Fermi Gases},
  author = {Marcel Griesemer and Michael Hofacker},
  journal= {arXiv preprint arXiv:2201.04362},
  year   = {2023}
}

Comments

16 pages, revised version, published in LMP