A Novel Exact Solution of the 2+1-Dimensional Radial Dirac Equation for the Generalized Dirac Oscillator with the Inverse Potentials

The generalized Dirac oscillator as one of the exact solvable models in quantum mechanics was introduced in 2+1-dimensional world in this paper. What is more, the general expressions of the exact solutions for these models with the inverse cubic, quartic, quintic, and sixth power potentials in radia...

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Main Authors: ZiLong Zhao, ZhengWen Long, MengYao Zhang
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2019/3423198
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author ZiLong Zhao
ZhengWen Long
MengYao Zhang
author_facet ZiLong Zhao
ZhengWen Long
MengYao Zhang
author_sort ZiLong Zhao
collection DOAJ
description The generalized Dirac oscillator as one of the exact solvable models in quantum mechanics was introduced in 2+1-dimensional world in this paper. What is more, the general expressions of the exact solutions for these models with the inverse cubic, quartic, quintic, and sixth power potentials in radial Dirac equation were further given by means of the Bethe ansatz method. And finally, the corresponding exact solutions in this paper were further discussed.
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institution Kabale University
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publishDate 2019-01-01
publisher Wiley
record_format Article
series Advances in High Energy Physics
spelling doaj-art-2299b707a2654b75a2d15e3e5ce507ad2025-02-03T06:00:59ZengWileyAdvances in High Energy Physics1687-73571687-73652019-01-01201910.1155/2019/34231983423198A Novel Exact Solution of the 2+1-Dimensional Radial Dirac Equation for the Generalized Dirac Oscillator with the Inverse PotentialsZiLong Zhao0ZhengWen Long1MengYao Zhang2Department of Physics, Guizhou University, 550025, ChinaDepartment of Physics, Guizhou University, 550025, ChinaDepartment of Physics, Guizhou University, 550025, ChinaThe generalized Dirac oscillator as one of the exact solvable models in quantum mechanics was introduced in 2+1-dimensional world in this paper. What is more, the general expressions of the exact solutions for these models with the inverse cubic, quartic, quintic, and sixth power potentials in radial Dirac equation were further given by means of the Bethe ansatz method. And finally, the corresponding exact solutions in this paper were further discussed.http://dx.doi.org/10.1155/2019/3423198
spellingShingle ZiLong Zhao
ZhengWen Long
MengYao Zhang
A Novel Exact Solution of the 2+1-Dimensional Radial Dirac Equation for the Generalized Dirac Oscillator with the Inverse Potentials
Advances in High Energy Physics
title A Novel Exact Solution of the 2+1-Dimensional Radial Dirac Equation for the Generalized Dirac Oscillator with the Inverse Potentials
title_full A Novel Exact Solution of the 2+1-Dimensional Radial Dirac Equation for the Generalized Dirac Oscillator with the Inverse Potentials
title_fullStr A Novel Exact Solution of the 2+1-Dimensional Radial Dirac Equation for the Generalized Dirac Oscillator with the Inverse Potentials
title_full_unstemmed A Novel Exact Solution of the 2+1-Dimensional Radial Dirac Equation for the Generalized Dirac Oscillator with the Inverse Potentials
title_short A Novel Exact Solution of the 2+1-Dimensional Radial Dirac Equation for the Generalized Dirac Oscillator with the Inverse Potentials
title_sort novel exact solution of the 2 1 dimensional radial dirac equation for the generalized dirac oscillator with the inverse potentials
url http://dx.doi.org/10.1155/2019/3423198
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