---
_id: '2402'
abstract:
- lang: eng
text: We consider a model of quantum-mechanical particles interacting via point
interactions of infinite scattering length. In the case of fermions we prove a
Lieb-Thirring inequality for the energy, i.e., we show that the energy is bounded
from below by a constant times the integral of the particle density to the power.
author:
- first_name: Rupert
full_name: Frank, Rupert L
last_name: Frank
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Frank R, Seiringer R. Lieb-Thirring inequality for a model of particles with
point interactions. *Journal of Mathematical Physics*. 2012;53(9). doi:10.1063/1.3697416
apa: Frank, R., & Seiringer, R. (2012). Lieb-Thirring inequality for a model
of particles with point interactions. *Journal of Mathematical Physics*.
American Institute of Physics. https://doi.org/10.1063/1.3697416
chicago: Frank, Rupert, and Robert Seiringer. “Lieb-Thirring Inequality for a Model
of Particles with Point Interactions.” *Journal of Mathematical Physics*.
American Institute of Physics, 2012. https://doi.org/10.1063/1.3697416.
ieee: R. Frank and R. Seiringer, “Lieb-Thirring inequality for a model of particles
with point interactions,” *Journal of Mathematical Physics*, vol. 53, no.
9. American Institute of Physics, 2012.
ista: Frank R, Seiringer R. 2012. Lieb-Thirring inequality for a model of particles
with point interactions. Journal of Mathematical Physics. 53(9).
mla: Frank, Rupert, and Robert Seiringer. “Lieb-Thirring Inequality for a Model
of Particles with Point Interactions.” *Journal of Mathematical Physics*,
vol. 53, no. 9, American Institute of Physics, 2012, doi:10.1063/1.3697416.
short: R. Frank, R. Seiringer, Journal of Mathematical Physics 53 (2012).
date_created: 2018-12-11T11:57:27Z
date_published: 2012-09-28T00:00:00Z
date_updated: 2021-01-12T06:57:16Z
day: '28'
doi: 10.1063/1.3697416
extern: 1
intvolume: ' 53'
issue: '9'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1112.5617
month: '09'
oa: 1
publication: Journal of Mathematical Physics
publication_status: published
publisher: American Institute of Physics
publist_id: '4524'
quality_controlled: 0
status: public
title: Lieb-Thirring inequality for a model of particles with point interactions
type: journal_article
volume: 53
year: '2012'
...