Non-inertial effects on Klein–Gordon oscillator under a scalar potential using the Kaluza–Klein theory

Ahmed, Faizuddin

doi:10.1007/s12043-021-02193-y

Cited by 6 publications

(5 citation statements)

References 60 publications

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“…Therefore, the relativistic quantum dynamics of the scalar field is described by the following wave equation (in the system of units where c = 1 = ÿ = G) [9,17,20,23,24,26,27,30,[32][33][34][35][42][43][44][45][46][47]…”

Section: Kg-oscillator Under Magnetic and Quantum Flux Fields In A To...mentioning

confidence: 99%

“…. Now, we insert an oscillator with the scalar field by replacing the radial momentum vector 44] as follows:…”

Section: = -mentioning

confidence: 99%

“…In this work, we have chosen the three-vector potential A  of the electromagnetic field [9,17,23,24,27,30,[42][43][44][45]47] given by…”

Section: = -mentioning

confidence: 99%

“…We will show later on that the energy profiles of the oscillator fields depend on the geometric quantum phase Φ B which gives us the gravitational analogue of the Aharonov-Bohm (AB) effect[40,41]. This AB effect is a quantum mechanical phenomenon that has been investigated in different branches of physics including quantum systems[9,18,23,24,26,30,32,33,[43][44][45]47].Therefore, the Klein-Gordon oscillator equation (5) in the space-time background (2) and using equation (6) becomes…”

mentioning

confidence: 99%

“…[23,24,26,27,30,33,44,45] is constant. We will show later on that the energy profiles of the oscillator fields depend on the geometric quantum phase Φ B which gives us the gravitational analogue of the Aharonov-Bohm (AB) effect[40,41].…”

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confidence: 99%

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Klein–Gordon oscillator with magnetic and quantum flux fields in non-trivial topological space-time

Ahmed¹

2023

Commun. Theor. Phys.

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The relativistic quantum motions of the oscillator field (via the Klein-Gordon oscillator equation) under a uniform magnetic field in a topologically non-trivial space-time geometry are analyzed. We solve the Klein-Gordon oscillator equation using the Nikiforov-Uvarov method and obtain the energy profile and wave function. We discuss the effects of the non-trivial topology and the magnetic field on the energy eigenvalues. We see that the energy eigenvalues depend on the magnetic flux field that shows an analogue of the Aharonov-Bohm effect. Furthermore, we obtain the persistent currents, the magnetization, and the magnetic susceptibility at Zero temperature defined in a state. We see that the magnetic properties of the quantum system get modified by the various factor in them

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Section: Kg-oscillator Under Magnetic and Quantum Flux Fields In A To...mentioning

confidence: 99%

“…. Now, we insert an oscillator with the scalar field by replacing the radial momentum vector 44] as follows:…”

Section: = -mentioning

confidence: 99%

“…In this work, we have chosen the three-vector potential A  of the electromagnetic field [9,17,23,24,27,30,[42][43][44][45]47] given by…”

Section: = -mentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

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Klein–Gordon oscillator with magnetic and quantum flux fields in non-trivial topological space-time

Ahmed¹

2023

Commun. Theor. Phys.

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Thermal properties of the 2D Klein–Gordon oscillator in a cosmic string space–time

2023

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Effects of Lorentz symmetry violation by a constant vector field subject to Cornell-type potential on relativistic quantum oscillator

Ahmed

2022

Mod. Phys. Lett. A

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In this paper, we analyze a relativistic quantum oscillator model under a Lorentz symmetry violation (LSV) environment defined by an arbitrary constant vector field [Formula: see text] subject to Cornell-type scalar potential. We first introduce the Cornell-type scalar potential by modifying the mass term via [Formula: see text], and then momentum vector [Formula: see text] in the wave equation. We solve the Klein–Gordon oscillator analytically for different vector field configurations and obtained the bound-states energy profiles and the wave function. We discuss the influences of a vector field on the energy eigenvalues and the wave function of these oscillators.

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Non-inertial effects on Klein–Gordon oscillator under a scalar potential using the Kaluza–Klein theory

Cited by 6 publications

References 60 publications

Klein–Gordon oscillator with magnetic and quantum flux fields in non-trivial topological space-time

Klein–Gordon oscillator with magnetic and quantum flux fields in non-trivial topological space-time

Thermal properties of the 2D Klein–Gordon oscillator in a cosmic string space–time

Effects of Lorentz symmetry violation by a constant vector field subject to Cornell-type potential on relativistic quantum oscillator

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