Triviality of a model of particles with point interactions in the thermodynamic limit

Moser, Thomas and Seiringer, Robert (2016) Triviality of a model of particles with point interactions in the thermodynamic limit. Letters in Mathematical Physics, prepri. pp. 1-44. ISSN 1573-0530

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Official URL: http://dx.doi.org/10.1007/s11005-016-0915-x

Abstract

We consider a model of fermions interacting via point interactions, defined via a certain weighted Dirichlet form. While for two particles the interaction corresponds to infinite scattering length, the presence of further particles effectively decreases the interaction strength. We show that the model becomes trivial in the thermodynamic limit, in the sense that the free energy density at any given particle density and temperature agrees with the corresponding expression for non-interacting particles.

Item Type: Article
DOI: 10.1007/s11005-016-0915-x
Uncontrolled Keywords: Scattering length, Thermodynamic limit, Fermi gas, Point interactions
Subjects: 500 Science > 510 Mathematics
500 Science > 530 Physics > 539 Modern physics
Research Group: Seiringer Group
SWORD Depositor: Sword Import User
Depositing User: Sword Import User
Date Deposited: 20 Dec 2016 10:55
Last Modified: 05 Sep 2017 09:32
URI: https://repository.ist.ac.at/id/eprint/723

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