Local exclusion and Lieb-Thirring inequalities for intermediate and fractional statistics
Mathematical Physics
2014-10-14 v2 Quantum Gases
math.MP
Spectral Theory
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.
Keywords
Cite
@article{arxiv.1301.3436,
title = {Local exclusion and Lieb-Thirring inequalities for intermediate and fractional statistics},
author = {Douglas Lundholm and Jan Philip Solovej},
journal= {arXiv preprint arXiv:1301.3436},
year = {2014}
}
Comments
Revised and accepted version. 49 pages, 2 figures