Relativistic Landau levels in the rotating cosmic string spacetime

Cunha, M. S.; Muniz, C. R.; Christiansen, H. R.; Bezerra, V. B.

doi:10.1140/epjc/s10052-016-4357-5

Cited by 90 publications

(69 citation statements)

References 41 publications

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“…These energy levels have already been considered previously by the authors in Refs. [25][26][27][28][29], which shows the consistency of our results.…”

Section: A Schrödinger Equationsupporting

confidence: 86%

“…The study of the Landau levels in the presence of a standard cosmic string (or a disclination in condensed matter systems) was already performed in [25][26][27][28][29], and we will follow the same line of investigation. In this case, the Hamiltonian corresponding to a charged particle in the presence of a gauge field in a curved background given generically by a metric g ij is written asĤ…”

Section: Landau Levels In the Rainbow Gravity Cosmic String Spacmentioning

confidence: 99%

“…An additional motivation to consider cosmic string is the possibility to investigate some of its properties in laboratory through the condensed matter counterpart known as disclination and that is mostly found liquid crystals condensed matter systems [22][23][24]. Studies of Landau levels in the spacetime of a cosmic string (disclination) has been conducted in Refs [25][26][27][28][29]. 2 The Landau levels have previously been considered in the context of modified theories of gravity, basically those ones involving the Generalized Uncertainty Principle, and can be 2 The effect of rainbow functions on energy levels has also been analyzed in the context of the Casimir effect in the Einstein universe [30] and for the Dirac oscillator in [31].…”

Section: Introductionmentioning

confidence: 99%

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Landau levels in the presence of a cosmic string in rainbow gravity

Bezerra¹,

Lobo²,

Mota³

et al. 2019

Annals of Physics

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In this paper we analyze the energy levels of a charged scalar particle placed in the static cosmic string spacetime, under the action of a uniform magnetic field parallel to the string, in the context of the semi-classical approach of the rainbow gravity. Firstly, we focus on the non-relativistic regime by solving the corresponding Schrödinger equation, following by a complete relativistic treatment of the problem in which we considered the Klein-Gordon equation. In both cases we find exact expressions for the Landau levels in terms of the rainbow functions, used to characterize a rainbow gravity model. In order to achieve the results of this paper we considered three different rainbow gravity models mostly used in the literature and compare the resulting modifications in the Landau levels with the standard case, namely without rainbow gravity.

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“…These energy levels have already been considered previously by the authors in Refs. [25][26][27][28][29], which shows the consistency of our results.…”

Section: A Schrödinger Equationsupporting

confidence: 86%

Section: Landau Levels In the Rainbow Gravity Cosmic String Spacmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Landau levels in the presence of a cosmic string in rainbow gravity

Bezerra¹,

Lobo²,

Mota³

et al. 2019

Annals of Physics

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“…The last point we would like to comment on here is that it would be natural now to attempt to apply the same techniques used above to the case of a rotating cylinder. Unfortunately, however, to deal with such a case one has to use the so-called Lewis spacetime [35], which is even more complicated than the metric (II.2). Given that the Lewis spacetime reduces in the limit of zero radius of the cylinder to that of a rotating cosmic string (see, e.g., Ref.…”

Section: B Using the Harmonic Oscillator Approximationmentioning

confidence: 99%

Landau levels in a gravitational field: the Levi-Civita and Kerr spacetimes case

Hammad

Landry

2020

Eur. Phys. J. Plus

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We have recently found that the gravitational field of a static spherical mass removes the Landau degeneracy of the energy levels of a particle moving around the mass inside a magnetic field by splitting the energy of the Landau orbitals. In this paper we present the second part of our investigation of the effect of gravity on Landau levels. We examine the effect of the gravitational fields created by an infinitely long massive cylinder and a rotating spherical mass. In both cases, we show that the degeneracy is again removed thanks to the splitting of the particle's orbitals. The first case would constitute an experimental test -which is quantum mechanical in nature -of the gravitational field of a cylinder. The approach relies on the Newtonian approximation of the gravitational potential created by a cylinder but, in view of self-consistency and for future higher-order approximations, the formalism is based on the full Levi-Civita metric. The second case opens up the possibility for a novel quantum mechanical test of the well-known rotational frame-dragging effect of general relativity. * Electronic address: fhammad@ubishops.ca † Electronic address: alexandre.landry.1@umontreal.ca

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“…In Ref. [23], relativistic Landau levels in the rotating cosmic string space-time with the Cornell potential, is considered. It was shown that the Landau levels of the spinning cosmic string remain the same even when the internal magnetic flux vanishes.…”

Section: Introductionmentioning

confidence: 99%

Scalar bosons with Coulomb potentials in a cosmic string background: scattering and bound states

et al. 2020

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The relativistic quantum motion of scalar bosons under the influence of a full vector (minimal A µ and nonminimal X µ ) and scalar (V s ) interactions embedded in the background of a cosmic string is explored in the context of the Klein-Gordon equation. Considering Coulomb interactions, the effects of this topological defect in equation of motion, phase shift and S-matrix are analyzed and discussed. Bound-state solutions are obtained from poles of the S-matrix and it is shown that bound-state solutions are possible only for a restrict range of coupling constants. PACS. 0 4.62.+v -0 4.20.Jb -0 3.65.Ge -0 3.65.Pm

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Relativistic Landau levels in the rotating cosmic string spacetime

Cited by 90 publications

References 41 publications

Landau levels in the presence of a cosmic string in rainbow gravity

Landau levels in the presence of a cosmic string in rainbow gravity

Landau levels in a gravitational field: the Levi-Civita and Kerr spacetimes case

Scalar bosons with Coulomb potentials in a cosmic string background: scattering and bound states

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