Lieb-Thirring inequality for a model of particles with point interactions
Journal Article
·
· Journal of Mathematical Physics
- Department of Mathematics, Princeton University, Princeton, New Jersey 08544 (United States)
- Department of Mathematics and Statistics, McGill University, 805 Sherbrooke Street West, Montreal, Quebec H3A 2K6 (Canada)
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).
- OSTI ID:
- 22093717
- Journal Information:
- Journal of Mathematical Physics, Vol. 53, Issue 9; Other Information: (c) 2012 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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