Fermionic behavior of ideal anyons
Mathematical Physics
2018-11-28 v1 Quantum Gases
math.MP
Spectral Theory
Abstract
We prove upper and lower bounds on the ground-state energy of the ideal two-dimensional anyon gas. Our bounds are extensive in the particle number, as for fermions, and linear in the statistics parameter . The lower bounds extend to Lieb-Thirring inequalities for all anyons except bosons.
Keywords
Cite
@article{arxiv.1712.06218,
title = {Fermionic behavior of ideal anyons},
author = {Douglas Lundholm and Robert Seiringer},
journal= {arXiv preprint arXiv:1712.06218},
year = {2018}
}
Comments
16 pages