2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/180671We 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 addedMathematical PhysicsHigh Energy Physics - Theorytext