Lieb-Thirring inequality for a model of particles with point interactions

Type: Article

Publication Date: 2012-05-14

Citations: 20

DOI: https://doi.org/10.1063/1.3697416

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.

Locations

  • Journal of Mathematical Physics - View
  • arXiv (Cornell University) - View - PDF
  • CaltechAUTHORS (California Institute of Technology) - View - PDF
  • DataCite API - View

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