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

Moser T, Seiringer R. 2017. Triviality of a model of particles with point interactions in the thermodynamic limit. Letters in Mathematical Physics. 107(3), 533–552.

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*Journal Article*|

*Published*|

*English*

**Scopus indexed**

Department

Grant

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.

Publishing Year

Date Published

2017-03-01

Journal Title

Letters in Mathematical Physics

Acknowledgement

Open access funding provided by Institute of Science and Technology (IST Austria).

Volume

107

Issue

3

Page

533 - 552

ISSN

IST-REx-ID

### Cite this

Moser T, Seiringer R. Triviality of a model of particles with point interactions in the thermodynamic limit.

*Letters in Mathematical Physics*. 2017;107(3):533-552. doi:10.1007/s11005-016-0915-xMoser, T., & Seiringer, R. (2017). Triviality of a model of particles with point interactions in the thermodynamic limit.

*Letters in Mathematical Physics*. Springer. https://doi.org/10.1007/s11005-016-0915-xMoser, Thomas, and Robert Seiringer. “Triviality of a Model of Particles with Point Interactions in the Thermodynamic Limit.”

*Letters in Mathematical Physics*. Springer, 2017. https://doi.org/10.1007/s11005-016-0915-x.T. Moser and R. Seiringer, “Triviality of a model of particles with point interactions in the thermodynamic limit,”

*Letters in Mathematical Physics*, vol. 107, no. 3. Springer, pp. 533–552, 2017.Moser, Thomas, and Robert Seiringer. “Triviality of a Model of Particles with Point Interactions in the Thermodynamic Limit.”

*Letters in Mathematical Physics*, vol. 107, no. 3, Springer, 2017, pp. 533–52, doi:10.1007/s11005-016-0915-x.**All files available under the following license(s):**

**Creative Commons Attribution 4.0 International Public License (CC-BY 4.0):**

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