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Title: Dirac oscillator interacting with a topological defect

Abstract

In this work we study the interaction problem of a Dirac oscillator with gravitational fields produced by topological defects. The energy levels of the relativistic oscillator in the cosmic string and in the cosmic dislocation space-times are sensible to curvature and torsion associated to these defects and are important evidence of the influence of the topology on this system. In the presence of a localized magnetic field the energy levels acquire a term associated with the Aharonov-Bohm effect. We obtain the eigenfunctions and eigenvalues and see that in the nonrelativistic limit some results known in standard quantum mechanics are reached.

Authors:
; ;  [1]
  1. Unidade Academica de Tecnologia de Alimentos, CCTA, Universidade Federal de Campina Grande, Pereiros, 58840-000, Pombal, Paraiba (Brazil)
Publication Date:
OSTI Identifier:
22068631
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 84; Journal Issue: 3; Other Information: (c) 2011 American Institute of Physics; Country of input: Syrian Arab Republic; Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 74 ATOMIC AND MOLECULAR PHYSICS; AHARONOV-BOHM EFFECT; DEFECTS; DISLOCATIONS; EIGENFUNCTIONS; EIGENVALUES; ENERGY LEVELS; GRAVITATIONAL FIELDS; INTERACTIONS; MAGNETIC FIELDS; OSCILLATORS; QUANTUM MECHANICS; RELATIVISTIC RANGE; SPACE-TIME; TOPOLOGY; TORSION

Citation Formats

Carvalho, J, Furtado, C, Moraes, F, and Departamento de Fisica, CCEN, Universidade Federal da Paraiba, Cidade Universitaria, 58051-970 Joao Pessoa, Paraiba. Dirac oscillator interacting with a topological defect. United States: N. p., 2011. Web. doi:10.1103/PHYSREVA.84.032109.
Carvalho, J, Furtado, C, Moraes, F, & Departamento de Fisica, CCEN, Universidade Federal da Paraiba, Cidade Universitaria, 58051-970 Joao Pessoa, Paraiba. Dirac oscillator interacting with a topological defect. United States. https://doi.org/10.1103/PHYSREVA.84.032109
Carvalho, J, Furtado, C, Moraes, F, and Departamento de Fisica, CCEN, Universidade Federal da Paraiba, Cidade Universitaria, 58051-970 Joao Pessoa, Paraiba. 2011. "Dirac oscillator interacting with a topological defect". United States. https://doi.org/10.1103/PHYSREVA.84.032109.
@article{osti_22068631,
title = {Dirac oscillator interacting with a topological defect},
author = {Carvalho, J and Furtado, C and Moraes, F and Departamento de Fisica, CCEN, Universidade Federal da Paraiba, Cidade Universitaria, 58051-970 Joao Pessoa, Paraiba},
abstractNote = {In this work we study the interaction problem of a Dirac oscillator with gravitational fields produced by topological defects. The energy levels of the relativistic oscillator in the cosmic string and in the cosmic dislocation space-times are sensible to curvature and torsion associated to these defects and are important evidence of the influence of the topology on this system. In the presence of a localized magnetic field the energy levels acquire a term associated with the Aharonov-Bohm effect. We obtain the eigenfunctions and eigenvalues and see that in the nonrelativistic limit some results known in standard quantum mechanics are reached.},
doi = {10.1103/PHYSREVA.84.032109},
url = {https://www.osti.gov/biblio/22068631}, journal = {Physical Review. A},
issn = {1050-2947},
number = 3,
volume = 84,
place = {United States},
year = {Thu Sep 15 00:00:00 EDT 2011},
month = {Thu Sep 15 00:00:00 EDT 2011}
}