A Uniform Static Magnetic Field in Kaluza-Klein Theory

An attempt is made to present some experimental predictions of the five dimensions Kaluza–Klein theory. The conversion of photons into dilatons in the static magnetic fields are considered in detail. The differential cross-sections are presented for the conversions in a magnetic field of the flat condensor and a magnetic field of the solenoid. A numerical evaluation shows that in the present technical scenario, the creation of dilatons at high energies may have the observable value.

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DYNAMICAL (SUPER)SYMMETRIES OF MONOPOLES AND VORTICES

Reviews in Mathematical Physics ◽

10.1142/s0129055x06002668 ◽

2006 ◽

Vol 18 (03) ◽

pp. 329-347 ◽

Cited By ~ 11

Author(s):

P. A. HORVÁTHY

Keyword(s):

Magnetic Field ◽

Static Magnetic Field ◽

Kepler Problem ◽

Dynamical Symmetry ◽

Magnetic Vortex ◽

Supersymmetry Algebra ◽

Dirac Monopole ◽

The One ◽

Kaluza Klein

The dynamical (super)symmetries for various monopole systems are reviewed. For a Dirac monopole, non-smooth Runge–Lenz vector can exist; there is, however, a spectrum-generating conformal o(2,1) dynamical symmetry that extends into osp(1/1) or osp(1/2) for spin 1/2 particles. Self-dual 't Hooft–Polyakov-type monopoles admit an su(2/2) dynamical supersymmetry algebra, which allows us to reduce the fluctuation equation to the spin 0 case. For large r, the system reduces to a Dirac monopole plus a suitable inverse-square potential considered before by McIntosh and Cisneros, and by Zwanziger in the spin 0 case, and to the "dyon" of D'Hoker and Vinet for spin 1/2. The asymptotic system admits a Kepler-type dynamical symmetry as well as a "helicity-supersymmetry" analogous to the one Biedenharn found in the relativistic Kepler problem. Similar results hold for the Kaluza–Klein monopole of Gross–Perry–Sorkin. For the magnetic vortex, the N = 2 supersymmetry of the Pauli Hamiltonian in a static magnetic field in the plane combines with the o(2) × o(2,1) bosonic symmetry into an o(2) × osp(1/2) dynamical superalgebra.

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Linear confinement of generalized KG-oscillator with a uniform magnetic field in Kaluza–Klein theory and Aharonov–Bohm effect

Scientific Reports ◽

10.1038/s41598-021-81273-w ◽

2021 ◽

Vol 11 (1) ◽

Author(s):

Faizuddin Ahmed

Keyword(s):

Magnetic Field ◽

Uniform Magnetic Field ◽

Dimensional Space ◽

Topological Defects ◽

Space Time ◽

Confining Potential ◽

Klein Theory ◽

Bohm Effect ◽

Aharonov Bohm ◽

Kaluza Klein

AbstractIn this paper, we solve generalized KG-oscillator interacts with a uniform magnetic field in five-dimensional space-time background produced by topological defects under a linear confining potential using the Kaluza–Klein theory. We solve this equation and analyze an analogue of the Aharonov–Bohm effect for bound states. We observe that the energy level for each radial mode depend on the global parameters characterizing the space-time, the confining potential, and the magnetic field which shows a quantum effect.

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Effects of the Cornell-Type Potential on a Position-Dependent Mass System in Kaluza-Klein Theory

Advances in High Energy Physics ◽

10.1155/2019/6740360 ◽

2019 ◽

Vol 2019 ◽

pp. 1-7 ◽

Cited By ~ 7

Author(s):

E.V. B. Leite ◽

H. Belich ◽

R. L. L. Vitória

Keyword(s):

Magnetic Field ◽

Quantum Effect ◽

Scalar Particle ◽

Relativistic Energy ◽

Mass System ◽

Klein Theory ◽

Dependent Mass ◽

Type Potential ◽

Position Dependent Mass ◽

Kaluza Klein

In this paper, we have investigated a scalar particle with position-dependent mass subject to a uniform magnetic field and a quantum flux, both coming from the background which is governed by the Kaluza-Klein theory. By modifying the mass term of the scalar particle, we insert the Cornell-type potential. In the search for solutions of bound states, we determine the relativistic energy profile of the system in this background of extra dimension. Particular cases of this system are analyzed and a quantum effect can be observed: the dependence of the magnetic field on the quantum numbers of the solutions.

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A magnetized object in Kaluza–Klein theory

Canadian Journal of Physics ◽

10.1139/p90-096 ◽

1990 ◽

Vol 68 (7-8) ◽

pp. 649-654 ◽

Cited By ~ 1

Author(s):

K. D. Krori ◽

J. C. Sarmah

Keyword(s):

Magnetic Field ◽

Angular Momentum ◽

Gaussian Curvature ◽

Field Parameter ◽

Magnetic Field Parameter ◽

Test Particles ◽

Klein Theory ◽

Charged Test ◽

The Magnetic Field ◽

Kaluza Klein

In this paper, we present a study of the stable equatorial (θ = π/2) and polar [Formula: see text] trajectories of neutral or charged test particles around a magnetized object in five-dimensional Kaluza–Klein theory. We also show how the nature of these trajectories changes with the variation of the angular momentum of the test particles and with the magnetic-field parameter. We point out that the Gaussian curvature tends to infinity at the Matos surface (defined in the text). A comparison is also made between four-dimensional and five-dimensional studies for equatorial and polar trajectories.

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Effects of Cornell-type scalar potential on a generalized KG-oscillator field in Kaluza–Klein theory

International Journal of Modern Physics A ◽

10.1142/s0217751x21500536 ◽

2021 ◽

Vol 36 (08n09) ◽

pp. 2150053

Author(s):

Faizuddin Ahmed

Keyword(s):

Magnetic Field ◽

Bound States ◽

Quantum Effect ◽

Scalar Potential ◽

Energy Eigenvalue ◽

Global Parameter ◽

Quantum Numbers ◽

Klein Theory ◽

Quantum Flux ◽

Kaluza Klein

We study a generalized KG-oscillator in the five-dimensional cosmic string geometry background with a magnetic field and quantum flux using Kaluza–Klein theory under the effects of a Cornell-type scalar potential, and observe the gravitational analogue of the Aharonov–Bohm effect. We see that the scalar potential allows the formation of bound states solution, and the energy eigenvalue depends on the global parameter characterizing the space–time. We also see that the magnetic field depends on quantum numbers of the relativistic system which shows a quantum effect.

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PHOTOPRODUCTION OF GRAVITONS AND DILATONS IN AN EXTERNAL ELECTROMAGNETIC FIELD

Modern Physics Letters A ◽

10.1142/s0217732391002712 ◽

1991 ◽

Vol 06 (25) ◽

pp. 2315-2322

Author(s):

HOANG NGOC LONG ◽

LE KHAC HUONG

Keyword(s):

Magnetic Field ◽

Electromagnetic Field ◽

Electric Field ◽

Static Magnetic Field ◽

Cross Sections ◽

High Frequency ◽

Numerical Evaluation ◽

External Electromagnetic Field ◽

The Creation ◽

Kaluza Klein

An attempt is made to present experimental predictions of the Kaluza-Klein based models. We consider the creation of gravitons and dilatons by photons in an external electromagnetic field, namely in the electric field of a flat condenser and in the static magnetic field. The relation between the cross-sections of these two processes is given. A numerical evaluation shows that in the present technical scenario the creation of high frequency gravitons and dilatons may be indirectly observable.

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Quantum Eﬀects on KG-Oscillator Feld Under a Cornell-Type Potential in Kaluza-Klein Theory

10.20944/preprints202101.0489.v1 ◽

2021 ◽

Author(s):

Faizuddin Ahmed

Keyword(s):

Magnetic Field ◽

Quantum Effect ◽

Scalar Potential ◽

Energy Eigenvalue ◽

Space Time ◽

Quantum Numbers ◽

Klein Theory ◽

Quantum Flux ◽

Eigenvalue And Eigenfunction ◽

Kaluza Klein

In this paper, we solve KG-oscillator in the ﬁve-dimensional cosmic string space-time background with a uniform magnetic ﬁeld and quantum ﬂux subject to a scalar potential of Cornell-type using KaluzaKlein theory, and observe the gravitational analogue of the AharonovBohm eﬀect. We show that the energy eigenvalue and eigenfunction depends on the global parameters of the space-time, and also a quantum eﬀect is seen due to the dependence of magnetic ﬁeld on the quantum numbers of the system

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