Aharonov-Bohm effect on the Poincar\'e disk
Mathematical Physics
2008-11-26 v2 High Energy Physics - Theory
math.MP
Abstract
We consider formal quantum hamiltonian of a charged particle on the Poincar\'e disk in the presence of an Aharonov-Bohm magnetic vortex and a uniform magnetic field. It is shown that this hamiltonian admits a four-parameter family of self-adjoint extensions. Its resolvent and the density of states are calculated for natural values of the extension parameters.
Keywords
Cite
@article{arxiv.math-ph/0702066,
title = {Aharonov-Bohm effect on the Poincar\'e disk},
author = {O. Lisovyy},
journal= {arXiv preprint arXiv:math-ph/0702066},
year = {2008}
}
Comments
21 pages, 1 figure, references added