Research PaperNo Access

Klein–Gordon oscillator under gravitational effects in a topologically charged Ellis–Bronnikov wormhole

Departamento de Física e Química, Universidade Federal do Espírito Santo, Av. Fernando Ferrari, 514 Goiabeiras, Vitória, ES 29060-900, Brazil

E-mail Address: carlos.f.pereira@edu.ufes.br

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R. L. L. Vitória

https://orcid.org/0000-0001-8802-3634

Faculdade de Física, Universidade Federal do Pará, Av. Augusto Corrêa, Guamá 66075-110, Belém, PA, Brazil

E-mail Address: ricardo.vitoria@pq.cnpq.br

E-mail Address: ricardo-luis91@hotmail.com

Corresponding author.

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A. R. Soares

https://orcid.org/0000-0003-1871-2068

Instituto Federal de Educação Ciência e Tecnologia do Maranhão, Campus Buriticupu, CEP 65393-000, Buriticupu, Maranhão, Brazil

E-mail Address: adriano.soares@ifma.edu.br

E-mail Address: adriano2da@gmail.com

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, and

H. Belich

https://orcid.org/0000-0002-8795-1735

Departamento de Física e Química, Universidade Federal do Espírito Santo, Av. Fernando Ferrari, 514 Goiabeiras, Vitória, ES 29060-900, Brazil

E-mail Address: humberto.belich@ufes.br

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https://doi.org/10.1142/S021773232350133XCited by:4 (Source: Crossref)

Abstract

In this paper, we investigate the phenomenon of a relativistic quantum oscillator in non-massive wormhole spacetime, known in the literature as Ellis–Bronnikov-type wormhole, for a spin-zero particle subjected to the effects of a scalar field. We have obtained analytically the bound state solutions and your respective energy spectrum. The energy profile of this scalar field is modified by the wormhole throat as well as the scalar coupling constant of curvature. In the second part of the work, we investigate how the energy spectrum for a spin-zero particle is modified by an Aharonov–Bohm geometric phase effect. We also built a graphical representation to try to visualize this modification generated by the magnetic flux constant.

Keywords:

PACS: 03.65.Pm, 03.65.Ge

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