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 model 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 sixtic power potentials in radial...

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Bibliographic Details
Published inarXiv.org
Main Authors Zhao, ZiLong, Long, ZhengWen, Zhang, MengYao
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 03.01.2019
Subjects
Dirac equation
Exact solutions
Mathematical models
Quantum mechanics
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Summary:The generalized Dirac oscillator as one of the exact solvable model 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 sixtic 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.
ISSN:2331-8422