Effects of a linear central potential induced by the Lorentz symmetry violation on the Klein–Gordon oscillator

Inspired by the Standard Model Extension, we have investigated a possible scenario arising from the Lorentz symmetry violation governed by a background tensor field on a scalar field subject to the Klein–Gordon oscillator, where this possible scenario gives rise to a linear central potential. We ana...

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Bibliographic Details
Published inThe European physical journal. C, Particles and fields Vol. 78; no. 12; pp. 1 - 6
Main Authors Vitória, R. L. L., Belich, H.
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2018
Springer
Springer Nature B.V
SpringerOpen
Subjects
Astronomy
Astrophysics and Cosmology
Elementary Particles
Energy levels
Hadrons
Heavy Ions
Klein-Gordon equation
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Regular Article - Theoretical Physics
Relativism
Relativistic effects
String Theory
Symmetry
Tensors
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Summary:Inspired by the Standard Model Extension, we have investigated a possible scenario arising from the Lorentz symmetry violation governed by a background tensor field on a scalar field subject to the Klein–Gordon oscillator, where this possible scenario gives rise to a linear central potential. We analyse the behaviour of the relativistic quantum oscillator under the influence of a Coulomb-type scalar potential in this background. Then, we solve the Klein–Gordon equation analytically and discuss the influence of the background which violates the Lorentz symmetry in the relativistic energy levels.
Bibliography:ObjectType-Article-1
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content type line 14
ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s10052-018-6479-4