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

@article{Frank2012LiebThirringIF,
  title={Lieb-Thirring Inequality for a Model of Particles with Point Interactions},
  author={R. Frank and R. Seiringer},
  journal={Journal of Mathematical Physics},
  year={2012},
  volume={53},
  pages={095201}
}
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. 
19 Citations
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