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

• Published in: European physical journal plus 2017-03, Vol.132 (3), p.123, Article 123
• Main Authors: Garcia, G. Q., de S. Oliveira, J. R., Bakke, K., Furtado, C.
• Format: Article
• Language: English
• Subjects: Applied and Technical Physics; Atomic; Complex Systems; Condensed Matter Physics; Defects; Dirac equation; Eigenvalues; Energy; Energy levels; Fermions; Gravity; Investigations; Mathematical and Computational Physics; Molecular; Optical and Plasma Physics; Physicists; Physics; Physics and Astronomy; Quantum theory; Regular Article; Relativistic effects; Spacetime; Theoretical; Theory of relativity; Topology
• ISSN: 2190-5444; 2190-5444
• DOI: 10.1140/epjp/i2017-11399-6

. 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.