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Title: On the interaction of the Dirac oscillator with the Aharonov–Casher system in topological defect backgrounds

In this paper, we study the influence of the Aharonov–Casher effect [Y. Aharonov, A. Casher, Phys. Rev. Lett. 53 (1984) 319] on the Dirac oscillator in three different scenarios of general relativity: the Minkowski spacetime, the cosmic string spacetime and the cosmic dislocation spacetime. In this way, we solve the Dirac equation and obtain the energy levels for bound states and the Dirac spinors for positive-energy solutions. We show that the relativistic energy levels depend on the Aharonov–Casher geometric phase. We also discuss the influence of curvature and torsion on the relativistic energy levels and the Dirac spinors due to the topology of the cosmic string and cosmic dislocation spacetimes. -- Highlights: •Influence of the Aharonov–Casher effect on the Dirac oscillator. •Exact solutions of the Dirac equation in topological defect spacetimes. •Dependence of the relativistic energy levels on the Aharonov–Casher geometric phase. •Influence of curvature and torsion on the relativistic energy levels and the Dirac spinors.
Authors:
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Publication Date:
OSTI Identifier:
22220789
Resource Type:
Journal Article
Resource Relation:
Journal Name: Annals of Physics (New York); Journal Volume: 336; Other Information: Copyright (c) 2013 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOUND STATE; DIPOLE MOMENTS; DIRAC EQUATION; DISLOCATIONS; ENERGY LEVELS; GENERAL RELATIVITY THEORY; INTERACTIONS; OSCILLATORS; RELATIVISTIC RANGE; SPACE-TIME; SPINORS; TOPOLOGY; TORSION