Lieb-Thirring Inequality for a Model of Particles with Point Interactions

Details Lieb-Thirring Inequality for a Model of Particles with Point Interactions Lieb-Thirring Inequality for a Model of Particles with Point Interactions

2011-12-23

arxiv.org/abs/1112.5617v1

Physics

Mathematical Physics

LaTeX, 13 pages

Scientific paper

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.

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