Anyons on the sphere: analytic states and spectrum
High Energy Physics - Theory
2020-03-06 v1 Strongly Correlated Electrons
Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
We analyze the quantum mechanics of anyons on the sphere in the presence of a constant magnetic field. We introduce an operator method for diagonalizing the Hamiltonian and derive a set of exact anyon energy eigenstates, in partial correspondence with the known exact eigenstates on the plane. We also comment on possible connections of this system with integrable systems of the Calogero type.
Cite
@article{arxiv.1908.10368,
title = {Anyons on the sphere: analytic states and spectrum},
author = {Stephane Ouvry and Alexios P. Polychronakos},
journal= {arXiv preprint arXiv:1908.10368},
year = {2020}
}
Comments
34 pages, no figures