Aharonov-Bohm effect on the Poincaré disk

Physics – Mathematical Physics

Scientific paper

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21 pages, 1 figure, references added

Scientific paper

10.1063/1.2738751

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.

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