Local exclusion principle for identical particles obeying intermediate and fractional statistics
Quantum Physics
2014-02-26 v3 Quantum Gases
Mathematical Physics
math.MP
Abstract
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. We discuss whether this is actually a necessary requirement.
Keywords
Cite
@article{arxiv.1205.2520,
title = {Local exclusion principle for identical particles obeying intermediate and fractional statistics},
author = {Douglas Lundholm and Jan Philip Solovej},
journal= {arXiv preprint arXiv:1205.2520},
year = {2014}
}
Comments
Revised and accepted version. 9 pages, 4 figures