Perturbation Theory on the Non-Commutative Plane with a Singular Potential
Mathematical Physics
2010-11-17 v2 High Energy Physics - Theory
math.MP
Abstract
In this article we study the problem of a non-relativistic particle in the presence of a singular potential in the noncommutative plane. The potential contains a term proportional to , where is the squared distance to the origin in the noncommutative plane. We find that the spectrum of energies is non analytic in the noncommutativity parameter .
Cite
@article{arxiv.1011.3038,
title = {Perturbation Theory on the Non-Commutative Plane with a Singular Potential},
author = {M. Nieto and P. A. G. Pisani and H. Falomir},
journal= {arXiv preprint arXiv:1011.3038},
year = {2010}
}
Comments
16 pages, no figures