scholarly journals Exact Solutions of Scalar Bosons in the Presence of the Aharonov-Bohm and Coulomb Potentials in the Gravitational Field of Topological Defects

2018 ◽  
Vol 2018 ◽  
pp. 1-9 ◽  
Author(s):  
Abdelmalek Boumali ◽  
Houcine Aounallah
Keyword(s):  
Gravitational Field ◽  
Relativistic Quantum ◽  
Topological Defects ◽  
Coupling Constants ◽  
Global Monopole ◽  
Charged Scalar ◽  
Scalar Particles ◽  
Quantum Motion ◽  
Aharonov Bohm ◽  
Coulomb Potentials

We analyze the relativistic quantum motion of a charged scalar particles in the presence of an Aharonov-Bohm and Coulomb potentials in the space-times produced by an idealized cosmic string and global monopole. We have calculated and discussed the eigensolutions of DKP equation and their dependence on both the geometry of the space-times and coupling constants parameters.

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

SOME REMARKS ON TOPOLOGICAL DEFECTS AND THEIR GRAVITATIONAL CONSEQUENCES

2002 ◽  
Vol 17 (29) ◽  
pp. 4365-4374 ◽  
Author(s):  
VALDIR B. BEZERRA ◽  
GEUSA DE A. MARQUES ◽  
NAIL R. KHUSNUTDINOV
Keyword(s):  
Hydrogen Atom ◽  
Cosmic String ◽  
Topological Defect ◽  
Solid Angle ◽  
Topological Defects ◽  
Scalar Particle ◽  
Global Monopole ◽  
Charged Scalar ◽  
Charged Scalar Particle ◽  
The Universe

We calculate the energy radiated by a uniformly moving charged scalar particle in the spacetime of a point-like global monopole, for small solid angle deficit. We show that this energy is proportional to the cube of the velocity of the particle and to the cube of the Lorenz factor, in the non-relativistic and ultra-relativistic cases, respectively. We also determine the energy shifts of a hydrogen atom placed in the background spacetime of a cosmic string and we discuss the possibility that these shifts could provide a means of probing for the presence of this topological defect in the Universe.

Aharonov–Bohm effect for bound states on spin-0 scalar charged particles in a rotating cosmic string space–time with Coulomb potentials

2020 ◽  
Vol 35 (20) ◽  
pp. 2050101
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Cosmic String ◽  
Quantum Dynamics ◽  
Bound States ◽  
Relativistic Quantum ◽  
Charged Particles ◽  
Topological Defects ◽  
Space Time ◽  
Vector Potentials ◽  
Bohm Effect ◽  
Aharonov Bohm

In this paper, we study the relativistic quantum dynamics of spin-0 scalar charged particles with a magnetic quantum flux produced by topological defects in a rotating cosmic string space–time. We solve the Klein–Gordon equation subject to Coulomb-type scalar and vector potentials in the considered framework and obtain the energy eigenvalues and eigenfunctions and analyze the analogue effect to Aharonov–Bohm effect for bound states.

The spin-zero Duffin-Kemmer-Petiau equation in a cosmic-string space-time with the Cornell interaction

2016 ◽  
Vol 31 (36) ◽  
pp. 1650191 ◽  
Author(s):  
M. de Montigny ◽  
M. Hosseinpour ◽  
H. Hassanabadi
Keyword(s):  
Gravitational Field ◽  
Coordinate System ◽  
Cosmic String ◽  
Topological Defects ◽  
Space Time ◽  
Dkp Equation

In this paper, we study the covariant Duffin-Kemmer-Petiau (DKP) equation in the cosmic-string space-time and consider the interaction of a DKP field with the gravitational field produced by topological defects in order to examine the influence of topology on this system. We solve the spin-zero DKP oscillator in the presence of the Cornell interaction with a rotating coordinate system in an exact analytical manner for nodeless and one-node states by proposing a proper ansatz solution.

scholarly journals Some effects on relativistic quantum systems due to a weak gravitational field

2005 ◽  
Vol 35 (4b) ◽  
pp. 1110-1112 ◽  
Author(s):  
Geusa de A. Marques ◽  
Sandro G. Fernandes ◽  
V. B. Bezerra
Keyword(s):  
Gravitational Field ◽  
Relativistic Quantum ◽  
Quantum Systems ◽  
Weak Gravitational Field
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