Zero Energy Bound States in Many--Particle Systems
Mathematical Physics
2012-10-23 v1 math.MP
Abstract
It is proved that the eigenvalues in the N--particle system are absorbed at zero energy threshold, if none of the subsystems has a bound state with and none of the particle pairs has a zero energy resonance. The pair potentials are allowed to take both signs.
Cite
@article{arxiv.1112.0112,
title = {Zero Energy Bound States in Many--Particle Systems},
author = {Dmitry K. Gridnev},
journal= {arXiv preprint arXiv:1112.0112},
year = {2012}
}