English

From Short-Range to Contact Interactions in Two-dimensional Many-Body Quantum Systems

Mathematical Physics 2022-03-02 v2 math.MP Nuclear Theory Quantum Physics

Abstract

Quantum systems composed of NN distinct particles in R2\R^2 with two-body contact interactions of TMS type are shown to arise as limits - in the norm resolvent sense - of Schr\"odinger operators with suitably rescaled pair potentials.

Keywords

Cite

@article{arxiv.2103.06834,
  title  = {From Short-Range to Contact Interactions in Two-dimensional Many-Body Quantum Systems},
  author = {Marcel Griesemer and Michael Hofacker},
  journal= {arXiv preprint arXiv:2103.06834},
  year   = {2022}
}

Comments

39 pages, published in AHPO

R2 v1 2026-06-24T00:01:01.073Z