Dynamical Symmetries of Two-Dimensional Dirac Equation with Screened Coulomb and Isotropic Harmonic Oscillator Potentials

被引：0

作者：

Wang Qing ^{[1
]}

Hou Yu-Long ^{[2
]}

Long Zheng-Wen ^{[3
]}

Jing Jian ^{[2
]}

机构：

[1] Xinjiang Univ, Coll Phys Sci & Technol, Urumqi 830046, Peoples R China

[2] Beijing Univ Chem Technol, Sch Sci, Dept Phys & Elect, Beijing 100029, Peoples R China

[3] Guizhou Univ, Dept Phys, Lab Photoelect Technol & Applicat, Guiyang 550025, Peoples R China

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 2014年 / 62卷 / 05期

关键词：

dynamical symmetry; Dirac oscillator; isotropic Hydrogen oscillator; MECHANICS;

D O I：

10.1088/0253-6102/62/5/05

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we study symmetrical properties of two-dimensional (2D) screened Dirac Hydrogen atom 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 symmetrics are excatly the same as non-relativistic screened Hydrogen atom and screened isotropic oscillator preserving their dynamical symmetrics. Some intuitive explanations are proposed.

引用

页码：663 / 666

页数：4

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