Aharonov-Bohm effect on the Poincaré disk

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
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 05 Oct 2017 19:31
Last Modified: 26 Jul 2018 09:37
URI: http://dair.dias.ie/id/eprint/196

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