scholarly journals The generalized Klein–Gordon oscillator with position-dependent mass in a particular Gödel-type space–time

2021 ◽  
Vol 36 (03) ◽  
pp. 2150023
Author(s):  
Yi Yang ◽  
Zheng-Wen Long ◽  
Qi-Kang Ran ◽  
Hao Chen ◽  
Zi-Long Zhao ◽  
...  
Keyword(s):  
Quantum Dynamics ◽  
Relativistic Quantum ◽  
Space Time ◽  
Linear Potential ◽  
Type Space ◽  
Cornell Potential ◽  
Klein Gordon ◽  
Dependent Mass ◽  
Position Dependent Mass

The relativistic quantum dynamics of the generalized Klein–Gordon (KG) oscillator having position-dependent mass in the Gödel-type space–time is investigated. We have presented the generalized KG oscillator in this space–time, and discussed the effect of Cornell potential and linear potential for our considered system. The modification from the parameters of position-dependent mass and characterizing the space–time for the energy spectrums are presented.

scholarly journals Investigation of a Spin-0 Massive Charged Particle Subject to a Homogeneous Magnetic Field with Potentials in a Topologically Trivial Flat Class of Gödel-Type Space-Time

2020 ◽  
Vol 2020 ◽  
pp. 1-10
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Magnetic Field ◽  
Charged Particle ◽  
Quantum Dynamics ◽  
Relativistic Quantum ◽  
Homogeneous Magnetic Field ◽  
Space Time ◽  
Type Space ◽  
Vector Potentials ◽  
Klein Gordon ◽  
Coulomb Type

In this paper, we investigate the relativistic quantum dynamics of spin-0 massive charged particle subject to a homogeneous magnetic field in the Gödel-type space-time with potentials. We solve the Klein-Gordon equation subject to a homogeneous magnetic field in a topologically trivial flat class of Gödel-type space-time in the presence of Cornell-type scalar and Coulomb-type vector potentials and analyze the effects on the energy eigenvalues and eigenfunctions.

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.

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.

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