Lisovyy, Oleg (2007) Aharonov-Bohm effect on the Poincaré disk. Journal of Mathematical Physics, 48 (5). 052112. ISSN 0022-2488
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Official URL: http://doi.org/10.1063/1.2738751
Abstract
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.
Item Type: | Article |
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Divisions: | School of Theoretical Physics > Preprints |
Date Deposited: | 05 Oct 2017 19:31 |
Last Modified: | 15 Dec 2022 08:45 |
URI: | https://dair.dias.ie/id/eprint/196 |
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