Effects of a linear central potential induced by the Lorentz symmetry violation on the Klein–Gordon oscillator
Abstract 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 potentia...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-12-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-018-6479-4 |
| _version_ | 1819022341044174848 |
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| author | R. L. L. Vitória H. Belich |
| author_facet | R. L. L. Vitória H. Belich |
| author_sort | R. L. L. Vitória |
| collection | DOAJ |
| description | Abstract 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. |
| first_indexed | 2024-12-21T04:21:27Z |
| format | Article |
| id | doaj.art-d3646ceff04a487fa8804bbdcec6f5d6 |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-21T04:21:27Z |
| publishDate | 2018-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-d3646ceff04a487fa8804bbdcec6f5d62022-12-21T19:16:10ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522018-12-0178121610.1140/epjc/s10052-018-6479-4Effects of a linear central potential induced by the Lorentz symmetry violation on the Klein–Gordon oscillatorR. L. L. Vitória0H. Belich1Departamento de Física e Química, Universidade Federal do Espírito SantoDepartamento de Física e Química, Universidade Federal do Espírito SantoAbstract 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.http://link.springer.com/article/10.1140/epjc/s10052-018-6479-4 |
| spellingShingle | R. L. L. Vitória H. Belich Effects of a linear central potential induced by the Lorentz symmetry violation on the Klein–Gordon oscillator European Physical Journal C: Particles and Fields |
| title | Effects of a linear central potential induced by the Lorentz symmetry violation on the Klein–Gordon oscillator |
| title_full | Effects of a linear central potential induced by the Lorentz symmetry violation on the Klein–Gordon oscillator |
| title_fullStr | Effects of a linear central potential induced by the Lorentz symmetry violation on the Klein–Gordon oscillator |
| title_full_unstemmed | Effects of a linear central potential induced by the Lorentz symmetry violation on the Klein–Gordon oscillator |
| title_short | Effects of a linear central potential induced by the Lorentz symmetry violation on the Klein–Gordon oscillator |
| title_sort | effects of a linear central potential induced by the lorentz symmetry violation on the klein gordon oscillator |
| url | http://link.springer.com/article/10.1140/epjc/s10052-018-6479-4 |
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