English

On critical stability of three quantum charges interacting through delta potentials

Mathematical Physics 2007-05-23 v1 math.MP

Abstract

We consider three one dimensional quantum, charged and spinless particles interacting through delta potentials. We derive sufficient conditions which guarantee the existence of at least one bound state.

Keywords

Cite

@article{arxiv.math-ph/0604003,
  title  = {On critical stability of three quantum charges interacting through delta potentials},
  author = {Horia Decebal Cornean and Pierre Duclos and Benjamin Ricaud},
  journal= {arXiv preprint arXiv:math-ph/0604003},
  year   = {2007}
}
R2 v1 2026-07-22T16:27:38.470Z