English

On the Hamiltonian for three bosons with point interactions

Mathematical Physics 2020-01-29 v1 Quantum Gases math.MP Quantum Physics

Abstract

We briefly summarize the most relevant steps in the search of rigorous results about the properties of quantum systems made of three bosons interacting with zero-range forces. We also describe recent attempts to solve the unboundedness problem of point-interaction Hamiltonians for a three-boson system, keeping unaltered the spectrum structure at low energies.

Keywords

Cite

@article{arxiv.2001.10462,
  title  = {On the Hamiltonian for three bosons with point interactions},
  author = {Rodolfo Figari and Alessandro Teta},
  journal= {arXiv preprint arXiv:2001.10462},
  year   = {2020}
}

Comments

16 pages

R2 v1 2026-06-23T13:23:10.466Z