Generalized Dirac Oscillator in Cosmic String Space-Time

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 poten...

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Main Authors: Lin-Fang Deng, Chao-Yun Long, Zheng-Wen Long, Ting Xu
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2018/2741694
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author Lin-Fang Deng
Chao-Yun Long
Zheng-Wen Long
Ting Xu
author_facet Lin-Fang Deng
Chao-Yun Long
Zheng-Wen Long
Ting Xu
author_sort Lin-Fang Deng
collection DOAJ
description 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.
format Article
id doaj-art-4a437bcf432841f2abdd1bb1dad47d58
institution Kabale University
issn 1687-7357
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language English
publishDate 2018-01-01
publisher Wiley
record_format Article
series Advances in High Energy Physics
spelling doaj-art-4a437bcf432841f2abdd1bb1dad47d582025-02-03T06:07:27ZengWileyAdvances in High Energy Physics1687-73571687-73652018-01-01201810.1155/2018/27416942741694Generalized Dirac Oscillator in Cosmic String Space-TimeLin-Fang Deng0Chao-Yun Long1Zheng-Wen Long2Ting Xu3Department of Physics, Guizhou University, Guiyang 550025, ChinaDepartment of Physics, Guizhou University, Guiyang 550025, ChinaDepartment of Physics, Guizhou University, Guiyang 550025, ChinaDepartment of Physics, Guizhou University, Guiyang 550025, ChinaIn 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.http://dx.doi.org/10.1155/2018/2741694
spellingShingle Lin-Fang Deng
Chao-Yun Long
Zheng-Wen Long
Ting Xu
Generalized Dirac Oscillator in Cosmic String Space-Time
Advances in High Energy Physics
title Generalized Dirac Oscillator in Cosmic String Space-Time
title_full Generalized Dirac Oscillator in Cosmic String Space-Time
title_fullStr Generalized Dirac Oscillator in Cosmic String Space-Time
title_full_unstemmed Generalized Dirac Oscillator in Cosmic String Space-Time
title_short Generalized Dirac Oscillator in Cosmic String Space-Time
title_sort generalized dirac oscillator in cosmic string space time
url http://dx.doi.org/10.1155/2018/2741694
work_keys_str_mv AT linfangdeng generalizeddiracoscillatorincosmicstringspacetime
AT chaoyunlong generalizeddiracoscillatorincosmicstringspacetime
AT zhengwenlong generalizeddiracoscillatorincosmicstringspacetime
AT tingxu generalizeddiracoscillatorincosmicstringspacetime