Hamiltonians for Two-Anyon Systems
Mathematical Physics
2019-01-08 v3 math.MP
Abstract
We study the well-posedness of the Hamiltonian of a system of two anyons in the magnetic gauge. We identify all the possible quadratic forms realizing such an operator for non-interacting anyons and prove their closedness and boundedness from below. We then show that the corresponding self-adjoint operators give rise to a one-parameter family of extensions of the naive two-anyon Schr\"odinger operator. We finally extend the results in presence of a two-body radial interaction.
Cite
@article{arxiv.1807.10904,
title = {Hamiltonians for Two-Anyon Systems},
author = {M. Correggi and L. Oddis},
journal= {arXiv preprint arXiv:1807.10904},
year = {2019}
}
Comments
Minor corrections; pdfLaTeX, 16 pages