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

2019 ◽  
Vol 2019 ◽  
pp. 1-7 ◽  
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.

Rotating frame effects and potential on a relativistic scalar particle in Kaluza–Klein theory

2021 ◽  
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Angular Momentum ◽  
Scalar Particle ◽  
Rotating Frame ◽  
Uniform Rotation ◽  
Background Space ◽  
Klein Theory ◽  
Bohm Effect ◽  
Aharonov Bohm ◽  
Type Potential ◽  
Kaluza Klein

The effects of uniform rotation on a relativistic scalar particle that interacts with a Cornell-type potential in background space–time described by the Kaluza–Klein theory are analyzed and the gravitational analogue of the Aharonov–Bohm effect is observed. Furthermore, linear confinement of a relativistic scalar particle was also discussed. We see a coupling between the angular velocity of the rotating frame [Formula: see text] and the angular momentum eigenvalue [Formula: see text] which shows the Sagnac-type effect.

Effects of rotation on a scalar field in a Kaluza–Klein theory

2020 ◽  
Vol 35 (34) ◽  
pp. 2050283
Author(s):  
E. V. B. Leite ◽  
H. Belich ◽  
R. L. L. Vitória
Keyword(s):  
Scalar Field ◽  
Energy Levels ◽  
Scalar Particle ◽  
Point Of View ◽  
Relativistic Energy ◽  
Theoretical Point ◽  
Klein Theory ◽  
Klein Gordon ◽  
Effects Of Rotation ◽  
Kaluza Klein

We have investigated the effects of rotation on a scalar field subject to the Aharonov–Bohm effect, an effect arising from a particular and possible scenario, from the theoretical point of view, of the Kaluza–Klein theory. Through the boundary condition induced by the non-inertial effect, for a particular case, we analyze a scalar particle in a region bounded by the cylindrical surfaces and under the effects of a hard-wall confining potential. In addition, a scalar particle with position-dependent mass interacting with the Coulomb-type potential. Then, in this scenario of the Kaluza–Klein theory in a uniformly rotating frame, we analyze the Klein–Gordon oscillator. In all cases an effect analogous to the Sagnac effect is observed on the relativistic energy levels determined analytically.

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

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.

Effects of the Kaluza–Klein theory on a Klein–Gordon particle with position-dependent mass

2019 ◽  
Vol 34 (38) ◽  
pp. 1950319 ◽  
Author(s):  
E. V. B. Leite ◽  
R. L. L. Vitória ◽  
H. Belich
Keyword(s):  
Quantum Dynamics ◽  
Bound States ◽  
Scalar Particle ◽  
Mass Term ◽  
Klein Theory ◽  
Klein Gordon ◽  
Coulomb Type ◽  
Dependent Mass ◽  
Aharonov Bohm ◽  
Kaluza Klein

Through the Kaluza–Klein theory, we investigate the quantum dynamics of a Klein–Gordon particle under the Aharonov–Bohm effect for bound states, where it is subject to the linear and Coulomb-type central potentials inserted in the Klein–Gordon equation by modification of the mass term. Then, we determine analytically solutions of bound states and the energy profile of the scalar particle in this background.

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

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

scholarly journals Aharonov-Bohm Effect for Bound States on the Confinement of a Relativistic Scalar Particle to a Coulomb-Type Potential in Kaluza-Klein Theory

2015 ◽  
Vol 2015 ◽  
pp. 1-6 ◽  
Author(s):  
E. V. B. Leite ◽  
H. Belich ◽  
K. Bakke
Keyword(s):  
Bound States ◽  
Scalar Potential ◽  
Scalar Particle ◽  
Minkowski Spacetime ◽  
Klein Theory ◽  
Coulomb Type ◽  
Bohm Effect ◽  
Aharonov Bohm ◽  
Type Potential ◽  
Kaluza Klein

Based on the Kaluza-Klein theory, we study the Aharonov-Bohm effect for bound states for a relativistic scalar particle subject to a Coulomb-type potential. We introduce this scalar potential as a modification of the mass term of the Klein-Gordon equation, and a magnetic flux through the line element of the Minkowski spacetime in five dimensions. Then, we obtain the relativistic bound states solutions and calculate the persistent currents.

scholarly journals PHOTOPRODUCTION OF DILATONS IN AN EXTERNAL MAGNETIC FIELD

2000 ◽  
Vol 15 (01) ◽  
pp. 23-28 ◽  
Author(s):  
DANG VAN SOA ◽  
HOANG NGOC LONG
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Cross Sections ◽  
Differential Cross ◽  
Numerical Evaluation ◽  
Static Magnetic Fields ◽  
Five Dimensions ◽  
High Energies ◽  
Klein Theory ◽  
Kaluza Klein

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.

Ansatz approach solution of the Duffin–Kemmer–Petiau equation for spin-1 particles with position-dependent mass in the presence of Kratzer-type potential

2014 ◽  
Vol 92 (12) ◽  
pp. 1565-1569 ◽  
Author(s):  
M.K. Bahar ◽  
F. Yasuk
Keyword(s):  
Wave Function ◽  
Scalar Potential ◽  
Energy Eigenvalues ◽  
Relativistic Spin ◽  
Ansatz Approach ◽  
Dependent Mass ◽  
Type Potential ◽  
Position Dependent Mass

The relativistic Duffin–Kemmer–Petiau equation for relativistic spin-1 particles with position-dependent mass in the presence of a vector Kratzer-type potential and the absence of a scalar potential is studied analytically. The energy eigenvalues and corresponding eigenfunctions are obtained using the wave function ansatz approach.

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