https://doi.org/10.1140/epjp/s13360-023-03783-y
Regular Article
Some remarks on scalar particles under the influence of noninertial effects in a spacetime with a screw dislocation
1
Departamento de Física, CCEN-Universidade Federal da Paraíba, C.P. 5008, CEP 58051-970, João Pessoa, PB, Brazil
2
Núcleo Cosmo–ufes & Departamento de Física, Universidade Federal do Espírito Santo, Av. Fernando Ferrari, 540, CEP 29075-910, Vitória, ES, Brazil
3
Departamento de Física, CFM-Universidade Federal de Santa Catarina, C.P. 476, CEP 88040-900, Florianópolis, SC, Brazil
Received:
11
November
2022
Accepted:
8
February
2023
Published online:
24
February
2023
In this paper, we study the effects induced by a rotating frame on Klein–Gordon equation in the spacetime with a screw dislocation. We consider the Klein-Gordon Oscillator in the geometry of the spacetime associated with a screw dislocation and include non-inertial effects by taking into account a coordinate transformation that introduce a rotating frame. We obtain solutions of the wave equation in terms of the confluent Heun function. The energy spectrum of the quantum oscillator is also studied, with special attention to the first three values of the quantum states. A comment on the analogy between the system considered and the Aharonov–Bohm effect for bound states is presented.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
