Magnetic monopoles in noncommutative quantum mechanics

Kováčik, Samuel and Prešnajder, Peter (2016) Magnetic monopoles in noncommutative quantum mechanics. (Preprint)

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Abstract

We discuss certain generalization of the Hilbert space of states in noncommutaive quantum mechanics that, as we show, introduces magnetic monopoles into the theory. Such generalization arises very naturally in the considered model, but can be easily reproduced in ordinary quantum mechanics as well. This approach offers a different viewpoint on the Dirac quantization condition and other important relations for magnetic monopoles. We focus mostly on the kinematic structure of the theory, but investigate also a dynamical problem (with the Coulomb potential).

Item Type: Article
Uncontrolled Keywords: Magnetic monopoles, quantum mechanics, noncommutative space
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 19 Jun 2018 14:00
Last Modified: 12 Jul 2018 10:54
URI: http://dair.dias.ie/id/eprint/648

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