Author(s):

Moser, Thomas; Seiringer, Robert

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

Affiliation 
IST Austria 
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 noninteracting particles.

Keywords: 
Scattering length; Thermodynamic limit; Fermi gas; Point interactions

Journal Title:

Letters in Mathematical Physics

Volume: 
107

Issue 
3

ISSN:

15730530

Publisher:

Springer

Date Published:

20170301

Start Page: 
533

End Page:

552

Copyright Statement: 
CC BY 4.0

URL: 

DOI: 
10.1007/s110050160915x

Notes: 
Open access funding provided by Institute of Science and Technology (IST Austria). Financial support by the Austrian Science Fund (FWF), Project Nr. P 27533N27, is gratefully acknowledged.

Open access: 
yes (OA journal) 