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.

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.

Klein–Gordon oscillator with position-dependent mass in the rotating cosmic string spacetime

2018 ◽  
Vol 33 (04) ◽  
pp. 1850025 ◽  
Author(s):  
Bing-Qian Wang ◽  
Zheng-Wen Long ◽  
Chao-Yun Long ◽  
Shu-Rui Wu
Keyword(s):  
Magnetic Field ◽  
Cosmic String ◽  
Energy Levels ◽  
Homogeneous Magnetic Field ◽  
Spinless Particle ◽  
Klein Gordon ◽  
Coulomb Type ◽  
Dependent Mass ◽  
String Background ◽  
Position Dependent Mass

A spinless particle coupled covariantly to a uniform magnetic field parallel to the string in the background of the rotating cosmic string is studied. The energy levels of the electrically charged particle subject to the Klein–Gordon oscillator are analyzed. Afterwards, we consider the case of the position-dependent mass and show how these energy levels depend on the parameters in the problem. Remarkably, it shows that for the special case, the Klein–Gordon oscillator coupled covariantly to a homogeneous magnetic field with the position-dependent mass in the rotating cosmic string background has the similar behaviors to the Klein–Gordon equation with a Coulomb-type configuration in a rotating cosmic string background in the presence of an external magnetic field.

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.

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.

Non-central potentials in the cosmic string space–time

2016 ◽  
Vol 94 (1) ◽  
pp. 71-74 ◽  
Author(s):  
A. Afshardoost ◽  
H. Hassanabadi
Keyword(s):  
Schrödinger Equation ◽  
Minkowski Space ◽  
Cosmic String ◽  
Schrodinger Equation ◽  
Energy Levels ◽  
Space Time ◽  
Spherical Coordinates ◽  
Double Ring ◽  
Quantum Particles ◽  
Minkowski Space Time

We investigate the behavior of quantum particles in the cosmic string space–time in the presence of Pöschl–Teller double-ring-shaped Coulomb and double-ring-shaped oscillator potentials. We obtain energy levels and finally compare the results with the Minkowski space–time. To do this, we solve the Schrödinger equation in spherical coordinates.

scholarly journals Precision protection through cosmic string in quantum metrology

2020 ◽  
Vol 80 (12) ◽  
Author(s):  
Yao Jin
Keyword(s):  
Electromagnetic Fields ◽  
Fisher Information ◽  
Cosmic String ◽  
Open Quantum Systems ◽  
Radial Distance ◽  
Quantum Fisher Information ◽  
Flat Space ◽  
Space Time ◽  
The One ◽  
Atomic Transition Frequency

AbstractThe dynamics of the quantum Fisher information of the parameters of the initial atomic state and atomic transition frequency is studied, in the framework of open quantum systems, for a static polarizable two-level atom coupled in the multipolar scheme to a bath of fluctuating vacuum electromagnetic fields in cosmic string space-time. Our results show that with the presence of cosmic string, the quantum Fisher information becomes position and atomic polarization dependent. It may be enhanced or depressed as compared to that in flat space-time case. Remarkably, when the atom is extremely close to the cosmic string and the polarization direction of the atom is perpendicular to the direction of the cosmic string, the quantum Fisher information has been totally protected from the fluctuating vacuum electromagnetic fields. So on the one hand, near a cosmic string, precision of estimation can be enhanced by ranging the radial distance between the probe atom and the cosmic string; on the other hand, the cosmic string can be sensed by studying the distribution of parameter induced state-separation.

The study of a half-spin relativistic particle in the rotating cosmic string space–time

2018 ◽  
Vol 33 (27) ◽  
pp. 1850158 ◽  
Author(s):  
Bing-Qian Wang ◽  
Zheng-Wen Long ◽  
Chao-Yun Long ◽  
Shu-Rui Wu
Keyword(s):  
Magnetic Field ◽  
Cosmic String ◽  
Energy Levels ◽  
Space Time ◽  
Analysis Method ◽  
Rotational Parameter ◽  
Spin Particle ◽  
Energy Eigenvalues ◽  
The Magnetic Field ◽  
Symmetrical Center

In this paper, a charged half-spin particle depicted by the Dirac equation in the presence of a uniform magnetic field and a mixed potential are analyzed in the rotating cosmic string space–time. In order to facilitate this study, we assume that the symmetrical center of the potential is on the string and the magnetic field is parallel to the string. Based on the functional analysis method, we obtain the energy eigenvalues for different physical situations. It shows that the energy levels of the system depend explicitly on the angular deficit [Formula: see text] and the rotational parameter [Formula: see text] which characterize the global structure of the metric in the space–time of the rotating cosmic string.

Sign in / Sign up

Export Citation Format

Share Document