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Conference on "Mathematical properties of large quantum systems"
Organizers: Maria J. Esteban (CNRS), Mathieu Lewin (CNRS), Robert Seiringer (McGill, Montréal) & Jan Philip Solovej (Copenhagen)


Douglas Lundholm (Paris, France): "Local exclusion and Lieb-Thirring inequalities for intermediate and fractional statistics"
Thursday 20 June 2013, 16:00 - 16:45
Amphi Hermite


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 recent Lieb-Thirring inequalities for anyons in two dimensions, as well as for models in one dimension of Lieb-Liniger and Calogero-Sutherland type. These inequalities follow from a local form of the exclusion principle valid for such generalized exchange statistics modeled by interactions. This is joint work with Jan Philip Solovej.