Rotating effects on the Dirac oscillator in the cosmic string spacetime

Bakke, K.

doi:10.1007/s10714-013-1561-6

Cited by 105 publications

(96 citation statements)

References 64 publications

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“…The Dirac oscillator was investigated for a spin-1/2 particle in the presence of topological defects in Refs. [10][11][12][13][14][15][16][17][18]. However, these studies were carried out for the quantum dynamics of spin-1/2 particles, leaving a gap in the treatment of harmonic interaction for relativistic scalar particles.…”

Section: Introductionmentioning

confidence: 99%

Klein–Gordon oscillator in Kaluza–Klein theory

et al. 2016

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In this contribution we study the Klein-Gordon oscillator on the curved background within the Kaluza-Klein theory. The problem of the interaction between particles coupled harmonically with topological defects in Kaluza-Klein theory is studied. We consider a series of topological defects, then we treat the Klein-Gordon oscillator coupled to this background, and we find the energy levels and corresponding eigenfunctions in these cases. We show that the energy levels depend on the global parameters characterizing these spacetimes. We also investigate a quantum particle described by the Klein-Gordon oscillator interacting with a cosmic dislocation in Som-Raychaudhuri spacetime in the presence of homogeneous magnetic field in a Kaluza-Klein theory. In this case, the energy spectrum is determined, and we observe that these energy levels represent themselves as the sum of the terms related with Aharonov-Bohm flux and of the parameter associated to the rotation of the spacetime.

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Section: Introductionmentioning

confidence: 99%

Klein–Gordon oscillator in Kaluza–Klein theory

et al. 2016

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“…Then, let us consider the particular case which α 2 s ≫ 1, while the ρ 0 and the parameter of the confluent hypergeometric function b are fixed and that the parameter of the confluent hypergeometric function a to be large. In the way, a confluent hypergeometric function can be written in the form [54,58,59]:…”

Section: Effects Of a Hard-wall Potentialmentioning

confidence: 99%

Effects of a Landau-Type Quantization Induced by the Lorentz Symmetry Violation on a Dirac Field

Vitória

Belich

2020

Advances in High Energy Physics

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Inspired by the extension of the Standard Model, we analyzed the effects of the spacetime anisotropies on a massive Dirac field through a non-minimal CPT-odd coupling in the Dirac equation, where we proposed a possible scenario that characterizes the breaking of the Lorentz symmetry which is governed by a background vector field and induces a Landau-type quantization. Then, in order to generalize our system, we introduce a hard-wall potential and, for a particular case, we determine the energy levels in this background. In addition, at the non-relativistic limit of the system, we investigate the effects of the Lorentz symmetry violation on thermodynamic aspects of the system.

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“…Various studies on the electromagnetic dynamics of the magnetic and electric dipole moments shown that both their global and local physical properties can be sensitive to non-trivial geometries [12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30]. However, it is still difficult to observe them experimentally.…”

Section: Hua-wei Fanmentioning

confidence: 99%

Hall Conductivity in the Cosmic Defect and Dislocation Spacetime

Wang

Yang

et al. 2016

Chinese Phys. Lett.

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Influences of topological defect and dislocation on conductivity behavior of charge carries in external electromagnetic fields are studied. Particularly the quantum Hall effect is investigated in detail. It is found that the nontrivial deformations of spacetime due to topological defect and dislocation produce an electric current at the leading order of perturbation theory. This current then induces a deformation on the Hall conductivity. The corrections on the Hall conductivity depend on the external electric fields, the size of the sample and the momentum of the particle.

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Rotating effects on the Dirac oscillator in the cosmic string spacetime

Cited by 105 publications

References 64 publications

Klein–Gordon oscillator in Kaluza–Klein theory

Klein–Gordon oscillator in Kaluza–Klein theory

Effects of a Landau-Type Quantization Induced by the Lorentz Symmetry Violation on a Dirac Field

Hall Conductivity in the Cosmic Defect and Dislocation Spacetime

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