# Generalized Dirac Oscillator in Cosmic String Space-Time

Long, Chao-Yun  (Department of Physics, Guizhou University, Guiyang 550025, China) (Laboratory for Photoelectric Technology and Application, Guizhou University, Guiyang 550025, China) ; Deng, Lin-Fang (Department of Physics, Guizhou University, Guiyang 550025, China) ; Long, Zheng-Wen  (Department of Physics, Guizhou University, Guiyang 550025, China) ; Xu, Ting (Department of Physics, Guizhou University, Guiyang 550025, China)

18 November 2018

Abstract: In this work, the generalized Dirac oscillator in cosmic string space-time is studied by replacing the momentum ${\mathrm{p}}_{\mathrm{\mu }}$ with its alternative ${\mathrm{p}}_{\mathrm{\mu }}+\mathrm{m}\mathrm{\omega }\mathrm{\beta }{\mathrm{f}}_{\mathrm{\mu }}\left({\mathrm{x}}_{\mathrm{\mu }}\right).$ In particular, the quantum dynamics is considered for the function ${\mathrm{f}}_{\mathrm{\mu }}\left({\mathrm{x}}_{\mathrm{\mu }}\right)$ 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.

Published in: Advances in High Energy Physics 2018 (2018) 2741694
DOI: 10.1155/2018/2741694
arXiv: 1811.03916v1

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