Holonomy transformation and Aharonov-Bohm effect in an Einstein-Maxwell space-time

1988 ◽  
Vol 38 (2) ◽  
pp. 506-508 ◽  
Author(s):  
V. B. Bezerra
Keyword(s):  
Space Time ◽  
Maxwell Space ◽  
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.

Aharonov-Bohm effect on the generalized Dirac oscillator in a cosmic dislocation space-time

2021 ◽  
Vol 132 (5) ◽  
pp. 50006
Author(s):  
H. Chen ◽  
Z. W. Long ◽  
Q. K. Ran ◽  
Y. Yang ◽  
C. Y. Long
Keyword(s):  
Space Time ◽  
Dirac Oscillator ◽  
Bohm Effect ◽  
Aharonov Bohm

Relativistic scalar Aharonov–Bohm effect for a neutral particle under Lorentz symmetry breaking effects in the cosmic string space–time

2019 ◽  
Vol 34 (21) ◽  
pp. 1950116
Author(s):  
K. Bakke ◽  
H. Belich
Keyword(s):  
Cosmic String ◽  
Neutral Particle ◽  
Relativistic Quantum ◽  
Lorentz Symmetry ◽  
Space Time ◽  
Maxwell Theory ◽  
Symmetry Violation ◽  
Quantum Phases ◽  
Bohm Effect ◽  
Aharonov Bohm

We search for relativistic quantum phases for a Dirac neutral particle with a permanent magnetic dipole moment in the cosmic string space–time under the effects of the violation of the Lorentz symmetry. This general relativity background is built based on the modified Maxwell theory coupled to gravity. Hence, we analyze analogues of the scalar Aharonov–Bohm effect for neutral particles in two different scenarios of the Lorentz symmetry violation in the cosmic string space–time.

scholarly journals AHARONOV–BOHM EFFECT AND COORDINATE TRANSFORMATIONS

1999 ◽  
Vol 14 (21) ◽  
pp. 1445-1453 ◽  
Author(s):  
A. CAMACHO
Keyword(s):  
Coordinate System ◽  
Quantum Particle ◽  
Space Time ◽  
Quantum Level ◽  
Coordinate Transformations ◽  
Nonrelativistic Quantum ◽  
Geometric Information ◽  
Quantum Process ◽  
Bohm Effect ◽  
Aharonov Bohm

Resorting to a Gedankenexperiment which is very similar to the famous Aharonov–Bohm proposal it will be shown that, in the case of a Minkowskian space–time, we may use a nonrelativistic quantum particle and a noninertial coordinate system and obtain geometric information of regions that are, to this particle, forbidden. This shows that the outcome of a nonrelativistic quantum process is determined not only by the features of geometry at those points at which the process takes place, but also by geometric parameters of regions in which the quantum system cannot enter. From this fact we could claim that geometry at the quantum level plays a nonlocal role. Indeed, the measurement outputs of some nonrelativistic quantum experiments are determined not only by the geometry of the region in which the experiment takes place, but also by the geometric properties of space–time volumes which are, in some way, forbidden in the experiment.

scholarly journals Exact solutions of vector bosons in the presence of the Aharonov-Bohm and Coulomb potentials in the gravitational field of topological defects in non-commutative space-time

2020 ◽  
Vol 66 (2 Mar-Apr) ◽  
pp. 192
Author(s):  
A. Boumali ◽  
H. Aounallah
Keyword(s):  
Gravitational Field ◽  
Exact Solutions ◽  
Order Differential Equation ◽  
Topological Defects ◽  
Space Time ◽  
Vector Bosons ◽  
Commutative Space ◽  
Bohm Effect ◽  
Aharonov Bohm ◽  
Coulomb Potentials

In this paper, we obtain the exact solutions of Duffin-Kemmer-Petiau equation spin-1 in thepresence of the Aharonov-Bohm and Coulomb potential in the gravitational field of cosmic stringand a global monopole, we are study the DKP equation in commutative space-time, We separatedthe variables with the help of Wigner functions and the parity operator, We solved the system ofthe second order differential equation in the case of P = (−1) j+1 , but in the case of P = (−1) j wesolved the system in j = 0. The spectrum of energy in the gravitational field of cosmic string and aglobal monopole are different, and the commutation relation of the angular momentum are obviouslydifferent from Pauli criterion in the Aharonov-Bohm effect, in spin-0 and spin-1 we have the non-commutativity energy by the perturbation theory, the energy is transition from commutative tonon-commutative spac

Sign in / Sign up

Export Citation Format

Share Document