On the interaction of the scalar field with a Coulomb-type potential in a spacetime with a screw dislocation and the Aharonov-Bohm effect for bound states

2018 ◽  
Vol 133 (11) ◽  
Author(s):  
R. L. L. Vitória ◽  
K. Bakke
Keyword(s):  
Scalar Field ◽  
Screw Dislocation ◽  
Bound States ◽  
Coulomb Type ◽  
Bohm Effect ◽  
Aharonov Bohm ◽  
Type Potential

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.

Aharonov–Bohm effect in a Coulomb-type potential under the influence of a cutoff point

2021 ◽  
pp. 2150136
Author(s):  
K. Bakke
Keyword(s):  
Electric Fields ◽  
Bound States ◽  
Energy Levels ◽  
Bound State ◽  
Cutoff Point ◽  
Coulomb Type ◽  
Bohm Effect ◽  
Forbidden Region ◽  
Aharonov Bohm ◽  
Type Potential

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.

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 Non-inertial effects on generalized KG-oscillator in the presence of Coulomb-type potential in topological defects geometry

2021 ◽  
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Bound States ◽  
Energy Eigenvalue ◽  
Topological Defects ◽  
Space Time ◽  
Coulomb Type ◽  
Relativistic Analogue ◽  
Bohm Effect ◽  
Eigenvalue And Eigenfunction ◽  
Aharonov Bohm ◽  
Type Potential

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.

On an attractive inverse-square potential in an elastic medium with a screw dislocation

2021 ◽  
Vol 36 (08n09) ◽  
pp. 2150066
Author(s):  
K. Bakke ◽  
C. Furtado
Keyword(s):  
Dipole Moment ◽  
Angular Velocity ◽  
Elastic Medium ◽  
Screw Dislocation ◽  
Electric Dipole Moment ◽  
Electric Dipole ◽  
Bound States ◽  
Rotating Reference Frame ◽  
Bohm Effect ◽  
Aharonov Bohm

We consider an elastic medium with the distortion of a circular curve into a vertical spiral. Then, we investigate the topological effects of a charged screw dislocation on the attractive inverse-square potential that stems from the interaction of the induced electric dipole moment of a neutral quasiparticle with an electric field. We show that an analogue of the Aharonov–Bohm effect for bound states can be obtained. In addition, we consider a rotating reference frame. Thus, we analyze an Aharonov–Bohm-type effect for bound states and the arising of a coupling between torsion and the angular velocity.

THE ANALOGUE OF THE AHARONOV–BOHM EFFECT FOR BOUND STATES FOR NEUTRAL PARTICLES

2011 ◽  
Vol 26 (18) ◽  
pp. 1331-1341 ◽  
Author(s):  
KNUT BAKKE ◽  
C. FURTADO
Keyword(s):  
Bound States ◽  
Neutral Particle ◽  
Energy Levels ◽  
Quantum Ring ◽  
Persistent Currents ◽  
One Dimensional ◽  
Neutral Particles ◽  
Quantum Flux ◽  
Bohm Effect ◽  
Aharonov Bohm

We study the analogue of the Aharonov–Bohm effect for bound states for a neutral particle with a permanent magnetic dipole moment interacting with an external field. We consider a neutral particle confined to moving between two coaxial cylinders and show the dependence of the energy levels on the Aharonov-Casher quantum flux. Moreover, we show that the same flux dependence of the bound states can be found when the neutral particle is confined to a one-dimensional quantum ring and a quantum dot, and we also calculate the persistent currents in each case.

scholarly journals Generalized KG-oscillator with a uniform magnetic field under the influence of Coulomb-type potentials in cosmic string space-time and Aharonov-Bohm effect

2021 ◽  
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Magnetic Field ◽  
Cosmic String ◽  
Uniform Magnetic Field ◽  
Bound States ◽  
Space Time ◽  
Vector Potentials ◽  
Klein Gordon ◽  
Relativistic Analogue ◽  
Bohm Effect ◽  
Aharonov Bohm

We solve a generalized Klein-Gordon oscillator (KGO) in the presence of a uniform magnetic field including quantum flux under the effects of a scalar and vector potentials of Coulomb-types in the static cosmic string space-time. We obtain the energy and corresponding eigenfunctions, and analyze a relativistic analogue of the Aharonov-Bohm effect for bound states.

scholarly journals Aharonov–Bohm effect for bound states in relativistic scalar particle systems in a spacetime with a spacelike dislocation

2018 ◽  
Vol 27 (02) ◽  
pp. 1850005 ◽  
Author(s):  
R. L. L. Vitória ◽  
K. Bakke
Keyword(s):  
Magnetic Field ◽  
Uniform Magnetic Field ◽  
Bound States ◽  
Topological Defect ◽  
Scalar Potential ◽  
Hard Wall ◽  
Wall Potential ◽  
Bohm Effect ◽  
Aharonov Bohm ◽  
Linear Scalar

We investigate the analog effect of the Aharonov–Bohm effect for bound states in two relativistic quantum systems in a spacetime with a spacelike dislocation. We assume that the topological defect has an internal magnetic flux. Then, we analyze the interaction of a charged particle with a uniform magnetic field in this topological defect spacetime, and thus, we extend this analysis to the confinement of a hard-wall potential and a linear scalar potential. Later, the interaction of the Klein–Gordon oscillator with a uniform magnetic field is analyzed. We first focus on the effects of torsion that stem from the spacetime with a spacelike dislocation and the geometric quantum phase. Then, we analyze the effects of torsion and the geometric quantum phase under the presence of a hard-wall potential and a linear scalar potential.

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