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 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.

QUANTUM EFFECTS DUE TO A MAGNETIC FLUX ASSOCIATED TO A TOPOLOGICAL DEFECT

2005 ◽  
Vol 20 (26) ◽  
pp. 6051-6064 ◽  
Author(s):  
GEUSA DE A. MARQUES ◽  
V. B. BEZERRA ◽  
C. FURTADO ◽  
F. MORAES
Keyword(s):  
Magnetic Field ◽  
Wave Function ◽  
Magnetic Flux ◽  
Applied Magnetic Field ◽  
Bound States ◽  
Topological Defect ◽  
Energy Spectra ◽  
Quantum Scattering ◽  
Bohm Effect ◽  
Aharonov Bohm

We investigate the quantum scattering of an electron by a topological defect called dispiration, with an externally applied magnetic field along its axis. The Aharonov–Bohm effect for bound states is analyzed and it is demonstrated that the wave function and the energy spectra associated with the particle depend on the features of the dispiration as well as on the magnetic flux. We also calculate Berry's phase associated to the dynamics of electrons in this background.

scholarly journals On an electron in an elastic medium with a spiral dislocation

2019 ◽  
Vol 34 (27) ◽  
pp. 1950153 ◽  
Author(s):  
A. V. D. M. Maia ◽  
K. Bakke
Keyword(s):  
Magnetic Field ◽  
Electric Field ◽  
Elastic Medium ◽  
Bound States ◽  
Axial Magnetic Field ◽  
Radial Electric Field ◽  
Hard Wall ◽  
Confining Potential ◽  
Bohm Effect ◽  
Aharonov Bohm

Topological effects of a spiral dislocation on an electron are investigated when it is confined to a hard-wall confining potential. Besides, the influence of the topology of the spiral dislocation on the interaction of the electron with a nonuniform radial electric field and a uniform axial magnetic field is analyzed. It is shown that the spectrum of energy can be obtained in all these cases. Moreover, it is shown that there is one case where an analog of the Aharonov–Bohm effect for bound states is yielded by the topology of the spiral dislocation.

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.

IMPACT OF AHARONOV–BOHM SOLENOID ON PARTICLE RADIATION IN MAGNETIC FIELD

2001 ◽  
Vol 16 (18) ◽  
pp. 1171-1179 ◽  
Author(s):  
V. G. BAGROV ◽  
D. M. GITMAN ◽  
A. D. LEVIN ◽  
V. B. TLYACHEV
Keyword(s):  
Magnetic Field ◽  
Uniform Magnetic Field ◽  
Radiation Spectrum ◽  
Spectral Lines ◽  
Particle Radiation ◽  
Radiation Spectra ◽  
Field Radiation ◽  
Bohm Effect ◽  
The Impact ◽  
Aharonov Bohm

We study the impact of Aharonov–Bohm solenoid on the radiation of a charged particle moving in a constant uniform magnetic field. Radiation peculiarities caused by the presence of the solenoid may be considered as a manifestation of Aharonov–Bohm effect in the radiation. In particular, new spectral lines appear in the radiation spectrum. Due to angular distribution peculiarities of the radiation intensity, these lines can in principle be isolated from basic cyclotron and synchrotron radiation spectra.

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.

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