Abstract
We investigate rotating effects on a charged scalar field immersed in spacetime with a magnetic screw dislocation. In addition to the hard-wall potential, which we impose to satisfy a boundary condition from the rotating effect, we insert a Coulomb-type potential and the Klein–Gordon oscillator into this system, where, analytically, we obtain solutions of bound states which are influenced not only by the spacetime topology, but also by the rotating effects, as a Sagnac-type effect modified by the presence of the magnetic screw dislocation.
Highlights
In the context of condensed matter physics, Katanaev and Volovich [1] formulated a description of defects in a threedimensional continuous elastic solid medium, where such defects may be associated with curvature or torsion of the continuous medium
We can note that the spacetime topology influences the relativistic energy levels through the presence of the parameter associated with the topological defect
We have investigated the effects of a uniformly rotating frame on a charged scalar field in the spacetime with a magnetic screw dislocation
Summary
In the context of condensed matter physics, Katanaev and Volovich [1] formulated a description of defects in a threedimensional continuous elastic solid medium, where such defects may be associated with curvature or torsion of the continuous medium. It is noteworthy that the Aharonov–Bohm effect has been investigated in several branches of physics, for example, in graphene [35], in a neo-Newtonian theory [36], in bound states of massive fermions [37], in scattering of dislocated wave fronts [38], in torsion effects on a relativistic position-dependent mass system [20], in Kaluza–Klein theory [39,40] and with a nonminimal Lorentz-violating coupling [41]. 2, for a particular case, we investigate the effects of the spacetime topology and of rotation on an electrically charged scalar field subject to the hard-wall potential, where it is possible to obtain the energy levels of this system; in the Sect. 4, through a nonminimal coupling in the Klein–Gordon equation, we insert a relativistic oscillator model and analyze the harmonic effects on the scalar field in a uniformly rotating frame in the spacetime with a magnetic screw dislocation, where we determine two energy profiles for the system; in the Sect. The structure of this paper is as follows: in the Sect. 2, for a particular case, we investigate the effects of the spacetime topology and of rotation on an electrically charged scalar field subject to the hard-wall potential, where it is possible to obtain the energy levels of this system; in the Sect. 3, we inserted a Coulomb-type potential in the Klein–Gordon equation via the mass term and, for a particular case, extracted the energy profile of this system; in the Sect. 4, through a nonminimal coupling in the Klein–Gordon equation, we insert a relativistic oscillator model and analyze the harmonic effects on the scalar field in a uniformly rotating frame in the spacetime with a magnetic screw dislocation, where we determine two energy profiles for the system; in the Sect. 5, we present our conclusions
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