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Fermions in Gödel-type background space-times with torsion and the Landau quantization

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Abstract.

In this paper, we analyze Dirac fermions in Gödel-type background space-times with torsion. We also consider the Gödel-type space-times embedded in a topological defect background. We show that relativistic bound states solutions to the Dirac equation can be obtained by dealing with three cases of the Gödel-type solutions with torsion, where a cosmic string passes through these three cases of the space-time. We obtain the relativistic energy levels for all cases of the Gödel-type solutions with torsion with a cosmic string, where we show that there exists an analogy with the Landau levels for Dirac particles. We also show that the presence of torsion in the space-time yields new contributions to the relativistic spectrum of energies and that the presence of the topological defect modifies the degeneracy of the relativistic energy levels.

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Authors and Affiliations

  1. Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, 58051-900, João Pessoa-PB, Brazil

    G. Q. Garcia, J. R. de S. Oliveira, K. Bakke & C. Furtado

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  1. G. Q. Garcia
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  2. J. R. de S. Oliveira
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  3. K. Bakke
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  4. C. Furtado
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Correspondence to C. Furtado.

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Garcia, G.Q., de S. Oliveira, J.R., Bakke, K. et al. Fermions in Gödel-type background space-times with torsion and the Landau quantization. Eur. Phys. J. Plus 132, 123 (2017). https://doi.org/10.1140/epjp/i2017-11399-6

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