Non-inertial effects on Klein–Gordon oscillator under a scalar potential using the Kaluza–Klein theory

Pramana ◽  
2021 ◽  
Vol 95 (4) ◽  
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Scalar Potential ◽  
Inertial Effects ◽  
Klein Theory ◽  
Klein Gordon ◽  
Kaluza Klein

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 Klein–Gordon oscillator in Kaluza–Klein theory

2016 ◽  
Vol 76 (7) ◽  
Author(s):  
Josevi Carvalho ◽  
Alexandre M. de M. Carvalho ◽  
Everton Cavalcante ◽  
Claudio Furtado
Keyword(s):  
Klein Theory ◽  
Klein Gordon ◽  
Kaluza Klein

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 The spacetime between Einstein and Kaluza–Klein

2020 ◽  
Vol 35 (36) ◽  
pp. 2030020
Author(s):  
Chris Vuille
Keyword(s):  
General Relativity ◽  
Scalar Field ◽  
Differential Operators ◽  
Mathematical Structure ◽  
Field Equations ◽  
Five Dimensions ◽  
Four Dimensions ◽  
Klein Theory ◽  
Klein Gordon ◽  
Kaluza Klein

In this paper I introduce tensor multinomials, an algebra that is dense in the space of nonlinear smooth differential operators, and use a subalgebra to create an extension of Einstein’s theory of general relativity. In a mathematical sense this extension falls between Einstein’s original theory of general relativity in four dimensions and the Kaluza–Klein theory in five dimensions. The theory has elements in common with both the original Kaluza–Klein and Brans–Dicke, but emphasizes a new and different underlying mathematical structure. Despite there being only four physical dimensions, the use of tensor multinomials naturally leads to expanded operators that can incorporate other fields. The equivalent Ricci tensor of this geometry is robust and yields vacuum general relativity and electromagnetism, as well as a Klein–Gordon-like quantum scalar field. The formalism permits a time-dependent cosmological function, which is the source for the scalar field. I develop and discuss several candidate Lagrangians. Trial solutions of the most natural field equations include a singularity-free dark energy dust cosmology.

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 Proper time and conformal problem in Kaluza–Klein theory

2015 ◽  
Vol 12 (05) ◽  
pp. 1550063
Author(s):  
E. Minguzzi
Keyword(s):  
Scalar Field ◽  
Gordon Equation ◽  
Proper Time ◽  
Inertial Mass ◽  
Scalar Fields ◽  
Conformal Factor ◽  
Klein Theory ◽  
Klein Gordon ◽  
Klein Gordon Equation ◽  
Kaluza Klein

In the traditional Kaluza–Klein theory, the cylinder condition and the constancy of the extra-dimensional radius (scalar field) imply that time-like geodesics on the five-dimensional bundle project to solutions of the Lorentz force equation on spacetime. This property is lost for nonconstant scalar fields, in fact there appears new terms that have been interpreted mainly as new forces or as due to a variable inertial mass and/or charge. Here we prove that the additional terms can be removed if we assume that charged particles are coupled with the same spacetime conformal structure of neutral particles but through a different conformal factor. As a consequence, in Kaluza–Klein theory the proper time of the charged particle might depend on the charge-to-mass ratio and the scalar field. Then we show that the compatibility between the equation of the projected geodesic and the classical limit of the Klein–Gordon equation fixes unambiguously the conformal factor of the coupling metric solving the conformal ambiguity problem of Kaluza–Klein theories. We confirm this result by explicitly constructing the projection of the Klein–Gordon equation and by showing that each Fourier mode, even for a variable scalar field, satisfies the Klein–Gordon equation on the base.

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.

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