Study of the Dirac oscillator in the presence of vector and scalar potentials in the cosmic string space-time

2020 ◽  
Vol 35 (21) ◽  
pp. 2050179
Author(s):  
Hao Chen ◽  
Zheng-Wen Long ◽  
Yi Yang ◽  
Chao-Yun Long
Keyword(s):  
Cosmic String ◽  
Topological Defect ◽  
Energy Levels ◽  
Bound State ◽  
Space Time ◽  
Dirac Oscillator ◽  
Ansatz Method ◽  
Cornell Potential ◽  
Scalar Potentials ◽  
Potential Parameters

In this paper, we use the functional Bethe ansatz method to solve the radial problem of the Dirac oscillator in cosmic string space-time, and its general solution under the Killingbeck potential plus isotonic oscillator potential in the limit of the spin and the pseudo-spin symmetries are further presented. Corresponding to the expressions of energies and wave function of bound state and first excited state are given. Furthermore, some particular cases including the Cornell potential, the Kratzer potential, the Killingbeck potential and the isotonic oscillator potentials are also addressed. It shows that the energy levels of the systems depend explicitly on the potential parameters [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] and the angular deficit parameter [Formula: see text] which characterize topological defect.

scholarly journals Generalized Dirac Oscillator in Cosmic String Space-Time

2018 ◽  
Vol 2018 ◽  
pp. 1-10 ◽  
Author(s):  
Lin-Fang Deng ◽  
Chao-Yun Long ◽  
Zheng-Wen Long ◽  
Ting Xu
Keyword(s):  
Hypergeometric Function ◽  
Exponential Type ◽  
Cosmic String ◽  
Quantum Dynamics ◽  
Singular Potential ◽  
Space Time ◽  
Hypergeometric Equation ◽  
Dirac Oscillator ◽  
Cornell Potential ◽  
Type Potential

In this work, the generalized Dirac oscillator in cosmic string space-time is studied by replacing the momentum pμ with its alternative pμ+mωβfμxμ. In particular, the quantum dynamics is considered for the function fμxμ to be taken as Cornell potential, exponential-type potential, and singular potential. For Cornell potential and exponential-type potential, the corresponding radial equations can be mapped into the confluent hypergeometric equation and hypergeometric equation separately. The corresponding eigenfunctions can be represented as confluent hypergeometric function and hypergeometric function. The equations satisfied by the exact energy spectrum have been found. For singular potential, the wave function and energy eigenvalue are given exactly by power series method.

SOLUTION OF THE DIRAC EQUATION WITH POSITION-DEPENDENT MASS IN A COULOMB AND SCALAR FIELDS IN A CONICAL SPACETIME

2013 ◽  
Vol 28 (31) ◽  
pp. 1350137 ◽  
Author(s):  
GEUSA DE A. MARQUES ◽  
V. B. BEZERRA ◽  
SHI-HAI DONG
Keyword(s):  
Dirac Equation ◽  
Cosmic String ◽  
Relativistic Particle ◽  
Energy Levels ◽  
Scalar Potential ◽  
Scalar Fields ◽  
The Self ◽  
Dependent Mass ◽  
Scalar Potentials ◽  
Position Dependent Mass

We consider the problem of a relativistic particle with position-dependent mass in the presence of a Coulomb and a scalar potentials in the background spacetime generated by a cosmic string. The scalar potential arises from the self-interaction potential which is induced by the conical geometry of the spacetime under consideration. We find the solution of the corresponding Dirac equation and determine the energy spectrum of the particle. The behavior of the energy levels on the parameters associated with the presence of the cosmic string and with the fact that the mass of the particle depends on its position is also analyzed.

The study of a spinless relativistic particle in the spinning cosmic string space–time

2017 ◽  
Vol 95 (4) ◽  
pp. 331-335 ◽  
Author(s):  
Zhi Wang ◽  
Zheng-wen Long ◽  
Chao-yun Long ◽  
Bing-qian Wang
Keyword(s):  
Cosmic String ◽  
Gordon Equation ◽  
Relativistic Particle ◽  
Energy Levels ◽  
Space Time ◽  
Rotational Parameter ◽  
Cylindrically Symmetric ◽  
Background Space ◽  
Klein Gordon ◽  
Klein Gordon Equation

In this paper we analyze a spinless relativistic particle depicted by the Klein–Gordon equation in the spinning cosmic string space–time. The solutions of the Klein–Gordon equation in the presence of a uniform magnetic field and the Klein–Gordon equation with two common cylindrically symmetric scalar potentials under the background space–time are presented; the energy spectrum and the corresponding wave functions of these systems are obtained by using the functional analysis method. It is shown that the energy levels of the considered physical systems depend explicitly on the angular deficit α and the rotational parameter a, which characterize the global structure of the metric in the space–time of the spinning cosmic string.

Klein–Gordon oscillator in the presence of a Cornell potential in the cosmic string space-time

2019 ◽  
Vol 16 (04) ◽  
pp. 1950054 ◽  
Author(s):  
M. Hosseini ◽  
H. Hassanabadi ◽  
S. Hassanabadi ◽  
P. Sedaghatnia
Keyword(s):  
Cosmic String ◽  
Bound States ◽  
Gordon Equation ◽  
Space Time ◽  
Cornell Potential ◽  
Noninertial Effects ◽  
Klein Gordon ◽  
Klein Gordon Equation

In this paper, we find solutions for the Klein–Gordon equation in the presence of a Cornell potential under the influence of noninertial effects in the cosmic string space-time. Then, we study Klein–Gordon oscillator in the cosmic string space-time. In addition, we show that the presence of a Cornell potential causes the forming bound states for the Klein–Gordon equation in this kind of background.

scholarly journals Solutions of the Schrödinger equation for pseudo-Coulomb potential plus a new improved ring-shaped potential in the cosmic string space–time

2016 ◽  
Vol 94 (5) ◽  
pp. 517-521 ◽  
Author(s):  
Akpan N. Ikot ◽  
Tamunoimi M. Abbey ◽  
Ephraim O. Chukwuocha ◽  
Michael C. Onyeaju
Keyword(s):  
Schrödinger Equation ◽  
Coulomb Potential ◽  
Cosmic String ◽  
Schrodinger Equation ◽  
State Energy ◽  
Bound State ◽  
Space Time ◽  
Minkowski Space Time ◽  
Uvarov Method ◽  
Good Agreement

In this paper, we obtain the bound state energy eigenvalues and the corresponding eigenfunctions of the Schrödinger equation for the pseudo-Coulomb potential plus a new improved ring-shaped potential within the framework of cosmic string space–time using the generalized parametric Nikiforov–Uvarov method. Our results are in good agreement with other works in the cosmic string space–time and reduced to those in the Minkowski space–time when α = 1.

Scattering states of Dirac equation in the presence of cosmic string for Coulomb interaction

2015 ◽  
Vol 30 (21) ◽  
pp. 1550124 ◽  
Author(s):  
M. Hosseinpour ◽  
H. Hassanabadi
Keyword(s):  
Electromagnetic Field ◽  
Dirac Equation ◽  
Coulomb Interaction ◽  
Coulomb Potential ◽  
Cosmic String ◽  
Phase Shifts ◽  
Space Time ◽  
Radial Part ◽  
Scattering States ◽  
Scalar Potentials

We study the covariant Dirac equation in the space–time generated by a cosmic string in presence of vector and scalar potentials of electromagnetic field. We obtain the solution of the radial part of Dirac equation. We consider the scattering states under the Coulomb potential and obtain the phase shifts.

Klein–Gordon field in spinning cosmic-string space-time with the Cornell potential

2018 ◽  
Vol 15 (10) ◽  
pp. 1850165 ◽  
Author(s):  
Mansoureh Hosseinpour ◽  
Hassan Hassanabadi ◽  
Marc de Montigny
Keyword(s):  
Scalar Field ◽  
Cosmic String ◽  
Quantum Dynamics ◽  
Topological Defects ◽  
Space Time ◽  
Wave Functions ◽  
Physical Parameters ◽  
Gravitational Fields ◽  
Cornell Potential ◽  
Klein Gordon

We study the relativistic quantum dynamics of a Klein–Gordon scalar field subject to a Cornell potential in spinning cosmic-string space-time, in order to better understand the effects of gravitational fields produced by topological defects on the scalar field. We solve the Klein–Gordon equation in the presence of scalar and vector interactions by utilizing the Nikiforov–Uvarov formalism and two ansätze, one of which leads to a biconfluent Heun differential equation. We obtain the wave-functions and the energy levels of the relativistic field in that space-time. We discuss the effect of various physical parameters and quantum numbers on the wave-functions.

scholarly journals The DKP Oscillator in Spinning Cosmic String Background

2018 ◽  
Vol 2018 ◽  
pp. 1-8 ◽  
Author(s):  
Mansoureh Hosseinpour ◽  
Hassan Hassanabadi
Keyword(s):  
Cosmic String ◽  
Energy Levels ◽  
Flat Space ◽  
Space Time ◽  
Covariant Form ◽  
Dkp Equation ◽  
Relativistic Spin ◽  
String Background

In this article, we investigate the behaviour of relativistic spin-zero bosons in the space-time generated by a spinning cosmic string. We obtain the generalized beta-matrices in terms of the flat space-time ones and rewrite the covariant form of Duffin-Kemmer-Petiau (DKP) equation in spinning cosmic string space-time. We find the solution of DKP oscillator and determine the energy levels. We also discuss the influence of the topology of the cosmic string on the energy levels and the DKP spinors.

Relativistic quantum motion of the scalar bosons in the background space–time around a chiral cosmic string

2019 ◽  
Vol 34 (10) ◽  
pp. 1950056 ◽  
Author(s):  
M. A. Hun ◽  
N. Candemir
Keyword(s):  
Current Density ◽  
Cosmic String ◽  
Relativistic Quantum ◽  
Energy Levels ◽  
Space Time ◽  
Curved Space ◽  
Dkp Equation ◽  
Background Space ◽  
Uvarov Method ◽  
Quantum Motion

In this paper, a relativistic behavior of spin-zero bosons is studied in a chiral cosmic string space–time. The Duffin–Kemmer–Petiau (DKP) equation and DKP oscillator are written in this curved space–time and are solved by using an appropriate ansatz and the Nikiforov–Uvarov method, respectively. The influences of the topology of this space–time on the DKP spinor and energy levels and current density are also discussed in detail.

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