Exact solutions of a two-dimensional Kemmer oscillator in the gravitational field of cosmic string

Messai, Nadjette; Boumali, Abdelmalek

doi:10.1140/epjp/i2015-15140-3

Cited by 24 publications

(19 citation statements)

References 26 publications

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“…It is known as a conical singularity [5]. Interesting works [6][7][8][9][10][11][12][13][14][15][16][17] have explored this topological characteristic of the cosmic string with the purpose of searching for analogues of the Aharonov-Bohm effect [18,19]. It is worth clarifying that Peshkin and Tonomura [20] showed that if a quantum particle is confined to move in a circular ring of radius R and there is a solenoid (extremely long) of radius a < R, then, the angular momentum quantum number is modified by l eff = l − eΦ/2π (where Φ is the magnetic flux through the solenoid and e is the electric charge).…”

Section: Introductionmentioning

confidence: 99%

Non-relativistic quantum effects on the harmonic oscillator in a spacetime with a distortion of a vertical line into a vertical spiral

2019

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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 Schrödinger equation in this topological defect background, it is shown that the topology of the spacetime modifies the spectrum of energy of the harmonic oscillator. Besides, it is shown that there exists an Aharonov-Bohm-type effect for bound states.

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Section: Introductionmentioning

confidence: 99%

Non-relativistic quantum effects on the harmonic oscillator in a spacetime with a distortion of a vertical line into a vertical spiral

2019

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“…(19) can be written in terms of the eigenvalues of the z-component of the total angular momentum and the linear momentum operators: φ (r, ϕ, z) = e i(l+1/2)ϕ+ikz u (r), where k is a constant and l = 0, ±1, ±2, ±3, ±4 . .…”

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confidence: 99%

Topological and rotating effects on the Dirac field in the spiral dislocation spacetime

Maia

Bakke

2019

Eur. Phys. J. C

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By considering a spacetime with a spiral dislocation, we analyse the behaviour of the Dirac field subject to a hard-wall confining potential. In search of relativistic bound states solutions, we discuss the influence of the topology of the spiral dislocation spacetime on the energy levels.Further, we analyse the effects of rotation on the Dirac field in the spiral dislocation spacetime.We show that both rotation and the topology of the spacetime impose a restriction on the values of the radial coordinate. Thus, we analyse the effects of rotation and the topology of the spiral dislocation spacetime on the Dirac field subject to a hard-wall confining potential by searching for relativistic bound states solutions.PACS numbers:

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“…[26]. Again, the cosmic string spacetime was considered as a background to examine relativistic oscillators [27][28][29][30], quantum phases [31], and fermionic currents [32].…”

Section: Introductionmentioning

confidence: 99%

Relativistic Quantum Motion of an Electron in Spinning Cosmic String Spacetime in the Presence of Uniform Magnetic Field and Aharonov-Bohm Potential

Cunha

Silva

2021

Advances in High Energy Physics

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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 and write the first- and second-order equations from it, and then, we solve these equations for bound states. We show that there are bound state solutions for the first-order equation Dirac. For the second-order equation, we obtain the corresponding wave functions, which depend on the Kummer functions. Then, we determine the energies of the particle. We examine the behavior of the energies as a function of the physical parameters of the model, such as rotation, curvature, magnetic field, Aharonov-Bohm flux, and quantum numbers. We find that, depending on the values of these parameters, there are energy nonpermissible levels.

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Exact solutions of a two-dimensional Kemmer oscillator in the gravitational field of cosmic string

Cited by 24 publications

References 26 publications

Non-relativistic quantum effects on the harmonic oscillator in a spacetime with a distortion of a vertical line into a vertical spiral

Non-relativistic quantum effects on the harmonic oscillator in a spacetime with a distortion of a vertical line into a vertical spiral

Topological and rotating effects on the Dirac field in the spiral dislocation spacetime

Relativistic Quantum Motion of an Electron in Spinning Cosmic String Spacetime in the Presence of Uniform Magnetic Field and Aharonov-Bohm Potential

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