A relativistic quantum oscillator subject to a Coulomb-type potential induced by effects of the violation of the Lorentz symmetry

. We consider a background of the violation of the Lorentz symmetry determined by the tensor ( K F ) μ ν α β which governs the Lorentz symmetry violation out of the Standard Model Extension, where this background gives rise to a Coulomb-type potential, and then, we analyse its effects on a relativis...

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Bibliographic Details
Published inEuropean physical journal plus Vol. 132; no. 1; p. 25
Main Authors Vitória, R. L. L., Belich, H., Bakke, K.
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.01.2017
Springer Nature B.V
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Summary:. We consider a background of the violation of the Lorentz symmetry determined by the tensor ( K F ) μ ν α β which governs the Lorentz symmetry violation out of the Standard Model Extension, where this background gives rise to a Coulomb-type potential, and then, we analyse its effects on a relativistic quantum oscillator. Furthermore, we analyse the behaviour of the relativistic quantum oscillator under the influence of a linear scalar potential and this background of the Lorentz symmetry violation. We show in both cases that analytical solutions to the Klein-Gordon equation can be achieved.
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ISSN:2190-5444
2190-5444
DOI:10.1140/epjp/i2017-11305-4