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.

scholarly journals Quantum Influence of Topological Defects on a Relativistic Scalar Particle with Cornell-Type Potential in Cosmic String Space-Time with a Spacelike Dislocation

2020 ◽  
Vol 2020 ◽  
pp. 1-12
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Cosmic String ◽  
Bound States ◽  
Relativistic Quantum ◽  
Scalar Potential ◽  
Topological Defects ◽  
Scalar Particle ◽  
Space Time ◽  
Klein Gordon ◽  
Quantum Flux ◽  
Relativistic Analogue

We study the relativistic quantum of scalar particles in the cosmic string space-time with a screw dislocation (torsion) subject to a uniform magnetic field including the magnetic quantum flux in the presence of potential. We solve the Klein-Gordon equation with a Cornell-type scalar potential in the considered framework and obtain the energy eigenvalues and eigenfunctions and analyze a relativistic analogue of the Aharonov-Bohm effect for bound states.

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 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.

Relativistic quantum motion of spin-0 particles with a Cornell-type potential in (1 + 2)-dimensional Gürses spacetime backgrounds

2019 ◽  
Vol 34 (38) ◽  
pp. 1950314 ◽  
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Quantum Dynamics ◽  
Gordon Equation ◽  
Relativistic Quantum ◽  
Scalar Potential ◽  
Wave Functions ◽  
Energy Eigenvalues ◽  
Klein Gordon ◽  
Quantum Motion ◽  
Type Potential ◽  
Klein Gordon Equation

In this work, we investigate the relativistic quantum dynamics of spin-0 particles in the background of (1 + 2)-dimensional Gürses spacetime [M. Gürses, Class. Quantum Grav. 11, 2585 (1994)] with interactions. We solve the Klein–Gordon equation subject to Cornell-type scalar potential in the considered framework, and evaluate the energy eigenvalues and corresponding wave functions, in detail.

scholarly journals Investigation of a Spin-0 Massive Charged Particle Subject to a Homogeneous Magnetic Field with Potentials in a Topologically Trivial Flat Class of Gödel-Type Space-Time

2020 ◽  
Vol 2020 ◽  
pp. 1-10
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Magnetic Field ◽  
Charged Particle ◽  
Quantum Dynamics ◽  
Relativistic Quantum ◽  
Homogeneous Magnetic Field ◽  
Space Time ◽  
Type Space ◽  
Vector Potentials ◽  
Klein Gordon ◽  
Coulomb Type

In this paper, we investigate the relativistic quantum dynamics of spin-0 massive charged particle subject to a homogeneous magnetic field in the Gödel-type space-time with potentials. We solve the Klein-Gordon equation subject to a homogeneous magnetic field in a topologically trivial flat class of Gödel-type space-time in the presence of Cornell-type scalar and Coulomb-type vector potentials and analyze the effects on the energy eigenvalues and eigenfunctions.

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 Coulomb-Type Interaction under Lorentz Symmetry Breaking Effects

2017 ◽  
Vol 2017 ◽  
pp. 1-5 ◽  
Author(s):  
R. L. L. Vitória ◽  
H. Belich ◽  
K. Bakke
Keyword(s):  
Symmetry Breaking ◽  
Energy Levels ◽  
Scalar Potential ◽  
Radial Distance ◽  
Scalar Particle ◽  
Lorentz Symmetry ◽  
Relativistic Energy ◽  
Klein Gordon ◽  
Coulomb Type ◽  
Lorentz Symmetry Breaking

Based on models of confinement of quarks, we analyse a relativistic scalar particle subject to a scalar potential proportional to the inverse of the radial distance and under the effects of the violation of the Lorentz symmetry. We show that the effects of the Lorentz symmetry breaking can induce a harmonic-type potential. Then, we solve the Klein-Gordon equation analytically and discuss the influence of the background of the violation of the Lorentz symmetry on the relativistic energy levels.

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