Local Exclusion and Lieb–Thirring Inequalities for Intermediate and Fractional Statistics

@article{Lundholm2013LocalEA,
  title={Local Exclusion and Lieb–Thirring Inequalities for Intermediate and Fractional Statistics},
  author={Douglas Lundholm and Jan Philip Solovej},
  journal={Annales Henri Poincar{\'e}},
  year={2013},
  volume={15},
  pages={1061-1107}
}
In one and two spatial dimensions there is a logical possibility for identical quantum particles different from bosons and fermions, obeying intermediate or fractional (anyon) statistics. We consider applications of a recent Lieb–Thirring inequality for anyons in two dimensions, and derive new Lieb–Thirring inequalities for intermediate statistics in one dimension with implications for models of Lieb–Liniger and Calogero–Sutherland type. These inequalities follow from a local form of the… 
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