Impossibility to describe repulsion with contact interaction

DOI10.1016/J.PHYSLETA.2009.11.043zbMATH Open1248.82022arXiv0901.3650OpenAlexW2011825427MaRDI QIDQ455077

M. Männel, K. Morawetz

Publication date: 4 October 2012

Published in: Physics Letters. A (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/0901.3650

Mathematics Subject Classification ID

Quantum equilibrium statistical mechanics (general) (82B10) Statistical mechanics of gases (82D05) Statistical thermodynamics (82B30)

Cites Work

• Lower Limit for the Energy Derivative of the Scattering Phase Shift
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