Impossibility to describe repulsion with contact interaction
Strongly Correlated Electrons
2015-05-13 v2 Statistical Mechanics
Abstract
Contact interactions always lead to attractive behaviour. Arguments are presented to show why a repulsive interacting system, e.g. Bose gases, cannot be described by contact interactions and corresponding treatments are possibly obscured by the appearance of bound states. The usually used cut-offs are identified as finite range parameters.
Cite
@article{arxiv.0901.3650,
title = {Impossibility to describe repulsion with contact interaction},
author = {K. Morawetz and M. Maennel},
journal= {arXiv preprint arXiv:0901.3650},
year = {2015}
}
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