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Related papers: Topological and noninertial effects in an Aharonov…

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In this work, we analyze the influence of noninertial and spin effects on the dynamics of the 2D Dirac oscillator in the magnetic cosmic string background. To model this background, we consider a uniform magnetic field, the Aharonov-Bohm…

High Energy Physics - Theory · Physics 2020-09-15 R. R. S. Oliveira

In this paper, we study the influence of noninertial effects on the Dirac oscillator in the cosmic string spacetime background. We discuss the behaviour of the oscillator frequency in a noninertial system that allows us to obtain…

General Relativity and Quantum Cosmology · Physics 2012-09-04 Knut Bakke

In this article, we study topological and noninertial effects on the motion of the two-dimensional Dirac oscillator in the presence of a uniform magnetic field and the Aharonov-Bohm potential. We obtain the Dirac equation that describes the…

High Energy Physics - Theory · Physics 2020-11-24 Márcio M. Cunha , Henrique S. Dias , Edilberto O. Silva

We determine the energy spectrum and the corresponding eigenfunctions of a 2D Dirac oscillator in the presence of Aharonov-Bohm (AB) effect . It is shown that the energy spectrum depends on the spin of particle and the AB magnetic flux…

Quantum Physics · Physics 2008-01-31 N. Ferkous , A. Bounames

In this contribution, we study the Dirac oscillator under the influence of noninertial effects of a rotating frame in the cosmic string spacetime. We show that both noninertial effects and the topology of the cosmic string spacetime…

Quantum Physics · Physics 2013-08-28 K. Bakke

This research paper delves into the study of a non-relativistic quantum system, considering the interplay of non-inertial effects induced by a rotating frame and confinement by the Aharonov-Bohm (AB) flux field with potential in the…

Quantum Physics · Physics 2023-08-31 Faizuddin Ahmed , Houcine Aounallah , Prabir Rudra

Non-relativistic quantum effects of the topology of the spacetime with the distortion of a vertical line into a vertical spiral on the harmonic oscillator are investigated. By searching for analytical solutions to the Schr\"odinger equation…

General Physics · Physics 2019-09-05 W. C. F. da Silva , K. Bakke , R. L. L. Vitória

It is analysed Aharonov-Bohm-type effects when a spinless quantum particle is in an elastic medium with the distortion of a vertical line into a vertical spiral. By confining the spinless particle to a cylindrical box, the analogue of the…

Quantum Physics · Physics 2019-07-04 W. C. F. da Silva , K. Bakke

We investigate torsion and noninertial effects on a spin-$1/2$ quantum particle in the nonrelativistic limit of the Dirac equation. We consider the cosmic dislocation spacetime as a background and show that a rotating system of reference…

Quantum Physics · Physics 2014-05-21 K. Bakke

In this paper, we study the influence of the Aharonov-Casher effect [Y. Aharonov and A. Casher, Phys. Rev. Lett. 53, 319 (1984).] on the Dirac oscillator in three different scenarios of general relativity: the Minkowski spacetime, the…

Quantum Physics · Physics 2013-07-11 K. Bakke , C. Furtado

The Aharonov-Bohm (AB) effect has been highly influential in fundamental and applied physics. Its topological nature commonly implies that an electron encircling a magnetic flux source in a field-free region must close the loop in order to…

We examine the effects of gravitational fields produced by topological defects on a Dirac field and a Dirac oscillator in a spinning cosmic string spacetime. We obtain the eigenfunctions and the energy levels of the relativistic field in…

High Energy Physics - Theory · Physics 2019-04-15 Mansoureh Hosseinpour , Hassan Hassanabadi , Marc de Montigny

In this work, we investigate the quantum motions of non-relativistic particles interacting with a potential in the presence of the Aharonov-Bohm (AB) flux field within a topological defect geometry, for example, space-time with a distortion…

Quantum Physics · Physics 2024-02-13 Prabir Rudra , Faizuddin Ahmed , Houcine Aounallah

In this work, we investigate the influence of torsion, Aharonov-Bohm flux, and external magnetic fields on the linear and nonlinear optical properties of a confined quantum system. The confinement potential is not assumed a priori, but…

Optics · Physics 2025-10-28 Carlos Magno O. Pereira , Edilberto O. Silva

In this manuscript, we study the relativistic quantum mechanics of an electron in external fields in the spinning cosmic string spacetime. We obtain the Dirac equation, write the first and second-order equations from it, and then we solve…

High Energy Physics - Theory · Physics 2020-06-12 Márcio M. Cunha , Edilberto O. Silva

In this paper, we investigate the quantum dynamics of a non-relativistic particle confined by the Aharonov-Bohm quantum flux field with pseudoharmonic-type potential in the background of topological defect produced by a point-like global…

High Energy Physics - Theory · Physics 2023-04-21 Faizuddin Ahmed

Recent works showed that the Aharonov-Bohm (AB) phase difference for a quantum charged particle can be written in terms of electric and magnetic fluxes in a spacetime surface whose boundaries are the possible particle worldlines in the…

Quantum Physics · Physics 2025-12-18 Hiram S. M. Rodrigues , Katson W. O. Arévola , Pablo L. Saldanha

We examine the non-inertial effects of a rotating frame on a Dirac oscillator in a cosmic string space-time with non-commutative geometry in phase space. We observe that the approximate bound-state solutions are related to the biconfluent…

General Relativity and Quantum Cosmology · Physics 2019-09-04 R. R. Cuzinatto , M. de Montigny , P. J. Pompeia

We discuss the behaviour of external fields that interact with a Dirac neutral particle with a permanent electric dipole moment in order to achieve relativistic bound states solutions in a noninertial frame and in the presence of a…

Mathematical Physics · Physics 2012-11-30 Knut Bakke

We analyze theoretically the bound state spectrum of an Aharonov Bohm (AB) ring in a two-dimensional topological insulator using the four-band model of HgTe-quantum wells as a concrete example. We calculate analytically the circular helical…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 Paolo Michetti , Patrik Recher
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