Aharonov-Bohm effect on the Poincaré disk
Abstract
Description
We consider formal quantum hamiltonian of a charged particle on the Poincaré 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.
21 pages, 1 figure, references added
21 pages, 1 figure, references added