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

preprint2011arXivOpen access

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.

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