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Vitória, R. L. L.; Bakke, K.

Aharonov-Bohm effect for bound states in relativistic scalar particle systems in a spacetime with a spacelike dislocation. (English) Zbl 1430.81034

Int. J. Mod. Phys. D 27, No. 2, Article ID 1850005, 17 p. (2018).
Summary: We investigate the analog effect of the Aharonov-Bohm effect for bound states in two relativistic quantum systems in a spacetime with a spacelike dislocation. We assume that the topological defect has an internal magnetic flux. Then, we analyze the interaction of a charged particle with a uniform magnetic field in this topological defect spacetime, and thus, we extend this analysis to the confinement of a hard-wall potential and a linear scalar potential. Later, the interaction of the Klein-Gordon oscillator with a uniform magnetic field is analyzed. We first focus on the effects of torsion that stem from the spacetime with a spacelike dislocation and the geometric quantum phase. Then, we analyze the effects of torsion and the geometric quantum phase under the presence of a hard-wall potential and a linear scalar potential.

Cited in 33 Documents

MSC:

81Q35 Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices
81V10 Electromagnetic interaction; quantum electrodynamics

Keywords:

Aharonov-Bohm effect; topological defect; torsion; position-dependent mass; Klein-Gordon Oscillator; Landau quantization
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