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.

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.

AHARONOV–BOHM EFFECT FOR BOUND STATES IN KALUZA–KLEIN THEORY

2000 ◽  
Vol 15 (04) ◽  
pp. 253-258 ◽  
Author(s):  
CLÁUDIO FURTADO ◽  
V. B. BEZERRA ◽  
FERNANDO MORAES
Keyword(s):  
Cosmic String ◽  
Bound States ◽  
Scalar Particle ◽  
Wave Functions ◽  
Energy Spectra ◽  
Global Features ◽  
Klein Theory ◽  
Bohm Effect ◽  
Aharonov Bohm ◽  
Kaluza Klein

Using Kaluza-Klein theory we study the quantum mechanics of a scalar particle in the background of a chiral cosmic string and of a magnetic cosmic string. We show that the wave functions and the energy spectra associated with the particle depend on the global features of those space–times. These dependences represent the analogs of the well-known Aharonov–Bohm effect. This effect appears as the sum of two contributions, one of gravitational origin and the other of electromagnetic origin.

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

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.

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.

Kaluza-Klein theory and Aharonov-Bohm effect

1986 ◽  
Vol 96 (1) ◽  
pp. 41-50 ◽  
Author(s):  
J. A. Ferrari ◽  
J. Griego
Keyword(s):  
Klein Theory ◽  
Bohm Effect ◽  
Aharonov Bohm ◽  
Kaluza Klein

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.

Scalar particle-monopole scattering in Kaluza-Klein theory with fixed-point compactification

1986 ◽  
Vol 173 (2) ◽  
pp. 149-153 ◽  
Author(s):  
A. Heil ◽  
N.A. Papadopoulos ◽  
B. Reifenhäuser ◽  
F. Scheck
Keyword(s):  
Fixed Point ◽  
Scalar Particle ◽  
Klein Theory ◽  
Kaluza Klein
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