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arXiv · 1301.3436

Local exclusion and Lieb-Thirring inequalities for intermediate and fractional statistics

Douglas Lundholm·Jan Philip Solovej
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Abstract

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 exclusion principle valid for such generalized exchange statistics.

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Douglas Lundholm, Jan Philip Solovej. 2013-09-24. Local exclusion and Lieb-Thirring inequalities for intermediate and fractional statistics. https://doi.org/10.1007/s00023-013-0273-5

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