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

Text
s11005-016-0915-x.pdf - Published Version Available under License Creative Commons Attribution. [IST-2016-723-v1+1] Download (573Kb) |

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 |

### Actions (login required)

View Item |