On the interaction of the scalar field with a Coulomb-type potential in a spacetime with a screw dislocation and the Aharonov-Bohm effect for bound states
Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, 58051-900, João Pessoa, PB, Brazil
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Accepted: 11 October 2018
Published online: 30 November 2018
We investigate topological effects on the interaction of a scalar field with a Coulomb-type potential in a spacetime with a screw dislocation (space-like dislocation). We also consider the topological defect with an internal magnetic field. Later, we investigate the interaction of a scalar field with a Coulomb-type potential plus another Coulomb-type potential (gauge potential), a uniform magnetic field, the Klein-Gordon oscillator and a linear scalar potential in this topological defect spacetime. Then, by searching for analytical solutions to the Klein-Gordon equation in the spacetime with a screw dislocation, we obtain analogues effects of the Aharonov-Bohm effect for bound states.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2018