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Aharonov-Bohm effect on the Poincaré disk

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 May 2007Embargo end date: 01 Jan 2007 Ireland English Publisher:AIP PublishingJournal:Journal of Mathematical Physics, volume 48 (issn: 0022-2488, eissn: 1089-7658, Copyright policy )Publicly funded
Authors: Lisovyy, Oleg;

doi: 10.1063/1.2738751 , 10.48550/arxiv.math-ph/0702066

arXiv: math-ph/0702066

Aharonov-Bohm effect on the Poincaré disk

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.

Country
Ireland
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Keywords

High Energy Physics - Theory, High Energy Physics - Theory (hep-th), FOS: Physical sciences, Mathematical Physics (math-ph), Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory, Quantum chaos, Mathematical Physics, Selfadjoint operator theory in quantum theory, including spectral analysis

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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 12
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
12
Average
Average
Average
Green
bronze