Related papers: Landau levels for the $(2+1)$ Dunkl-Klein-Gordon oscillator

Landau levels for the $(2+1)$ Dunkl-Klein-Gordon oscillator

URL: http://arxiv.org/abs/2009.06406v1
Date: Fri, 11 Sep 2020 15:27:31 GMT
Title: Landau levels for the $(2+1)$ Dunkl-Klein-Gordon oscillator
Authors: R. D. Mota, D. Ojeda-Guill\'en, M.Salazar-Ram\'irez and V. D. Granados
Abstract summary: We find the energy spectrum and the eigenfunctions analytically, and we show that both solutions are consistent. We demonstrate that when the magnetic field vanishes or when the parameters of the Dunkl derivatives are set zero, our results are adequately reduced to those reported in the literature.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: In this paper we study the $(2+1)$-dimensional Klein-Gordon oscillator coupled to an external magnetic field, in which we change the standard partial derivatives for the Dunkl derivatives. We find the energy spectrum (Landau levels) in an algebraic way, by introducing three operators that close the $su(1,1)$ Lie algebra and from the theory of unitary representations. Also we find the energy spectrum and the eigenfunctions analytically, and we show that both solutions are consistent. Finally, we demonstrate that when the magnetic field vanishes or when the parameters of the Dunkl derivatives are set zero, our results are adequately reduced to those reported in the literature.

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