Monday, May 14, 2012

1205.2520 (Douglas Lundholm et al.)

Local exclusion for intermediate and fractional statistics    [PDF]

Douglas Lundholm, Jan Philip Solovej
A local exclusion principle is observed for identical particles obeying intermediate/fractional exchange statistics in one and two dimensions, leading to bounds for the kinetic energy in terms of the density. This has implications for models of Lieb-Liniger and Calogero-Sutherland type, and implies a non-trivial lower bound for the energy of the anyon gas whenever the statistics parameter is an odd numerator fraction.
View original: http://arxiv.org/abs/1205.2520

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