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

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.

2000 ◽  
Vol 15 (04) ◽  
pp. 253-258 ◽  
Author(s):  
CLÁUDIO FURTADO ◽  
V. B. BEZERRA ◽  
FERNANDO MORAES

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.


Author(s):  
Faizuddin Ahmed

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.


2019 ◽  
Vol 34 (38) ◽  
pp. 1950319 ◽  
Author(s):  
E. V. B. Leite ◽  
R. L. L. Vitória ◽  
H. Belich

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.


2020 ◽  
Vol 2020 ◽  
pp. 1-15
Author(s):  
Faizuddin Ahmed

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.


Author(s):  
K. Bakke

We analyze the influence of a cutoff point on a Coulomb-type potential that stems from the interaction of an electron with electric fields. This cutoff point establishes a forbidden region for the electron. Then, we search for bound state solutions to the Schrödinger equation. In addition, we consider a rotating reference frame. We show that the effects of rotation break the degeneracy of the energy levels. Further, we discuss the Aharonov–Bohm effect for bound states.


2020 ◽  
Vol 2020 ◽  
pp. 1-10 ◽  
Author(s):  
Faizuddin Ahmed

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.


Author(s):  
Faizuddin Ahmed

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.


2021 ◽  
Author(s):  
Faizuddin Ahmed

Abstract In this work, we solve a generalized KG-oscillator subject to a scalar and vector potential of Coulomb-types under the effects of a uniform rotation in cosmic string space-time. We obtain the energy eigenvalue and eigenfunction, and analyze a relativistic analogue of the Aharonov-Bohm effect for bound states. We see that the presence of potential allow the formation of bound states solution and the energy level and wave-function for each radial mode depend on the global parameters of the space-time.


2020 ◽  
pp. 2150004
Author(s):  
Faizuddin Ahmed

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.


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