scholarly journals Aharonov–Bohm Effect on Spin-0 Scalar Massive Charged Particle with a Uniform Magnetic Field in Som–Raychaudhuri Space-time with a Cosmic String

2020 ◽  
Vol 51 (11) ◽  
pp. 2041
Author(s):  
F. Ahmed
Keyword(s):  
Magnetic Field ◽  
Charged Particle ◽  
Cosmic String ◽  
Uniform Magnetic Field ◽  
Space Time ◽  
Bohm Effect ◽  
Aharonov Bohm

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 Linear confinement of generalized KG-oscillator with a uniform magnetic field in Kaluza–Klein theory and Aharonov–Bohm effect

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Magnetic Field ◽  
Uniform Magnetic Field ◽  
Dimensional Space ◽  
Topological Defects ◽  
Space Time ◽  
Confining Potential ◽  
Klein Theory ◽  
Bohm Effect ◽  
Aharonov Bohm ◽  
Kaluza Klein

AbstractIn this paper, we solve generalized KG-oscillator interacts with a uniform magnetic field in five-dimensional space-time background produced by topological defects under a linear confining potential using the Kaluza–Klein theory. We solve this equation and analyze an analogue of the Aharonov–Bohm effect for bound states. We observe that the energy level for each radial mode depend on the global parameters characterizing the space-time, the confining potential, and the magnetic field which shows a quantum effect.

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.

scholarly journals CHARGED PARTICLES WITH SPIN IN A GRAVITATIONAL WAVE AND A UNIFORM MAGNETIC FIELD

2006 ◽  
Vol 15 (01) ◽  
pp. 121-130 ◽  
Author(s):  
MORTEZA MOHSENI
Keyword(s):  
Magnetic Field ◽  
Charged Particle ◽  
Gravitational Wave ◽  
Uniform Magnetic Field ◽  
Charged Particles ◽  
Space Time ◽  
Pp Wave

We study the motion of a pseudo-classical charged particle with spin in the space–time of a gravitational pp wave in the presence of a uniform magnetic field.

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