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 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 Effects of Kaluza-Klein Theory and Potential on a Generalized Klein-Gordon Oscillator in the Cosmic String Space-Time

2020 ◽  
Vol 2020 ◽  
pp. 1-15
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Cosmic String ◽  
Bound States ◽  
Scalar Potential ◽  
Space Time ◽  
Relativistic Energy ◽  
Klein Theory ◽  
Klein Gordon ◽  
Coulomb Type ◽  
Relativistic Analogue ◽  
Kaluza Klein

In this paper, we solve a generalized Klein-Gordon oscillator in the cosmic string space-time with a scalar potential of Cornell-type within the Kaluza-Klein theory and obtain the relativistic energy eigenvalues and eigenfunctions. We extend this analysis by replacing the Cornell-type with Coulomb-type potential in the magnetic cosmic string space-time and analyze a relativistic analogue of the Aharonov-Bohm effect for bound states.

scholarly journals Spin-0 scalar particle interacts with scalar potential in the presence of magnetic field and quantum flux under the effects of KKT in 5D cosmic string spacetime

2020 ◽  
pp. 2150004
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Magnetic Field ◽  
Quantum Dynamics ◽  
Bound States ◽  
Relativistic Quantum ◽  
Energy Levels ◽  
Scalar Potential ◽  
Scalar Particle ◽  
Klein Theory ◽  
Klein Gordon ◽  
Quantum Flux

In this paper, we study a relativistic quantum dynamics of spin-0 scalar particle interacts with scalar potential in the presence of a uniform magnetic field and quantum flux in background of Kaluza–Klein theory (KKT). We solve Klein–Gordon equation in the considered framework and analyze the relativistic analogue of the Aharonov–Bohm effect for bound states. We show that the energy levels depend on the global parameters characterizing the spacetime, scalar potential and the magnetic field which break their degeneracy.

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 Effects of Uniform Rotation and Cornell-Type Potential on KG-Scalar Particle in Kaluza-Klein Theory

2021 ◽  
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Bound States ◽  
Energy Eigenvalue ◽  
Scalar Particle ◽  
Space Time ◽  
Cylindrical System ◽  
Klein Theory ◽  
Coulomb Type ◽  
Eigenvalue And Eigenfunction ◽  
Scalar Potentials ◽  
Kaluza Klein

The non-inertial effects on spin-0 scalar particle that interacts with scalar potentials of Cornell-type in cylindrical system and Coulomb-type in the magnetic cosmic string space-time using Kaluza-Klein theory is analyzed. We show that the energy eigenvalue and eigenfunction depend on the global parameters characterizing the space-time, and the gravitational analogue of the Aharonov-Bohm effect for bound states is observed.

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 Klein-Gordon Oscillator in the Presence of External Fields in a Cosmic Space-Time with a Space-Like Dislocation and Aharonov-Bohm Effect

2020 ◽  
Vol 2020 ◽  
pp. 1-10 ◽  
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Bound States ◽  
Scalar Potential ◽  
Energy Eigenvalue ◽  
Scalar Particle ◽  
Space Time ◽  
Relativistic Energy ◽  
External Fields ◽  
Klein Gordon ◽  
Bohm Effect ◽  
Aharonov Bohm

In this paper, we study interactions of a scalar particle with electromagnetic potential in the background space-time generated by a cosmic string with a space-like dislocation. We solve the Klein-Gordon oscillator in the presence of external fields including an internal magnetic flux field and analyze the analogue effect to the Aharonov-Bohm effect for bound states. We extend this analysis subject to a Cornell-type scalar potential and observe the effects on the relativistic energy eigenvalue and eigenfunction.

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.

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.

scholarly journals Noninertial effects on a scalar field in a spacetime with a magnetic screw dislocation

2019 ◽  
Vol 79 (10) ◽  
Author(s):  
Ricardo L. L. Vitória
Keyword(s):  
Scalar Field ◽  
Screw Dislocation ◽  
Bound States ◽  
Charged Scalar ◽  
Wall Potential ◽  
Noninertial Effects ◽  
Klein Gordon ◽  
Coulomb Type ◽  
Charged Scalar Field ◽  
Type Potential

Abstract We investigate rotating effects on a charged scalar field immersed in spacetime with a magnetic screw dislocation. In addition to the hard-wall potential, which we impose to satisfy a boundary condition from the rotating effect, we insert a Coulomb-type potential and the Klein–Gordon oscillator into this system, where, analytically, we obtain solutions of bound states which are influenced not only by the spacetime topology, but also by the rotating effects, as a Sagnac-type effect modified by the presence of the magnetic screw dislocation.

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