Published September 2012
| Version Submitted
Journal Article
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Lieb-Thirring inequality for a model of particles with point interactions
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Abstract
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 5/3.
Additional Information
© 2012 American Institute of Physics. Received 23 December 2011; accepted 17 February 2012; published online 14 May 2012. Partial financial support by NSF (Grant No. PHY-1068285) to R.F. and the NSERC to R.S. is gratefully acknowledged.Attached Files
Submitted - 1112.5617.pdf
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1112.5617.pdf
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Additional details
Identifiers
- Eprint ID
- 77107
- Resolver ID
- CaltechAUTHORS:20170501-113527750
Related works
- Describes
- https://arxiv.org/abs/1112.5617 (URL)
Funding
- NSF
- PHY-1068285
- Natural Sciences and Engineering Research Council of Canada (NSERC)
Dates
- Created
-
2017-05-01Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field