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...
Saved in:
Main Authors: | , , , |
---|---|
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 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
_version_ | 1832550209938259968 |
---|---|
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 1687-7365 |
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 |