LiebThirring inequality for a model of particles with point interactions
Abstract
We consider a model of quantummechanical particles interacting via point interactions of infinite scattering length. In the case of fermions we prove a LiebThirring 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.
 Publication:

Journal of Mathematical Physics
 Pub Date:
 September 2012
 DOI:
 10.1063/1.3697416
 arXiv:
 arXiv:1112.5617
 Bibcode:
 2012JMP....53i5201F
 Keywords:

 fermions;
 functional analysis;
 integral equations;
 quantum theory;
 scattering;
 03.65.Sq;
 02.30.Rz;
 03.65.Db;
 03.65.Nk;
 Semiclassical theories and applications;
 Integral equations;
 Functional analytical methods;
 Scattering theory;
 Mathematical Physics;
 Condensed Matter  Quantum Gases
 EPrint:
 LaTeX, 13 pages