Local exclusion and Lieb-Thirring inequalities for intermediate and fractional statistics
arXiv:1301.3436 · doi:10.1007/s00023-013-0273-5
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.
Revised and accepted version. 49 pages, 2 figures
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Cited by in corpus (24)
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- Local Quantum Fields for Anyons on the Circle leading to Non-Relativistic Anyons in Two Dimensions
- 2D magnetic stability