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Dynamical Symmetries of Two-Dimensional Dirac Equation with Screened Coulomb and Isotropic Harmonic Oscillator Potentials |
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| Authors: | WANG Qing HOU Yu-Long LONG Zheng-Wen JING Jian |
| Institution: | 1. College of Physics Science and Technology, Xinjiang University, Urumqi 830046, China; 2. Department of Physics and Electronic, School of Science, Beijing University of Chemical Technology, Beijing 100029, China; 3. Laboratory for Photoelectric Technology and Application, Department of Physics, Guizhou University, Guiyang 550025, China |
| Abstract: | In this paper, we study symmetrical properties of two-dimensional (2D) screened Dirac Hydrogen atom and isotropic harmonic oscillator with scalar and vector potentials of equal magnitude (SVPEM). We find that it is possible for both cases to preserve so(3) and su(2) dynamical symmetries provided certain conditions are satisfied. Interestingly, the conditions for preserving these dynamical symmetries are exactly the same as non-relativistic screened Hydrogen atom and screened isotropic oscillator preserving their dynamical symmetries. Some intuitive explanations are proposed. |
| Keywords: | dynamical symmetry Dirac oscillator isotropic Hydrogen oscillator |
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