Solution of the Dirac equation for pseudo-harmonic oscillatory ring-shaped potential by the supersymmetric quantum mechanics

被引：10

作者：

Moghadam, Sahar Arbabi ^{[1
]}

Eshghi, Mahdi ^{[1
]}

Mehraban, Hossein ^{[2
]}

机构：

[1] Islamic Azad Univ, Cent Tehran Branch, Young Researchers & Elite Club, Tehran, Iran

[2] Semnan Univ, Fac Sci, Dept Phys, Semnan, Iran

来源：

PHYSICA SCRIPTA | 2014年 / 89卷 / 09期

关键词：

Dirac equation; supersymmetry; pseudo-harmonic oscillatory ring-shaped potential; KLEIN-GORDON EQUATION; PEKERIS-TYPE APPROXIMATION; SPIN SYMMETRY; BOUND-STATES; SCHRODINGER-EQUATION; POSCHL-TELLER; VECTOR; SCALAR;

D O I：

10.1088/0031-8949/89/9/095202

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this work, exact solutions of the Dirac equation are studied for the pseudo-harmonic oscillatory ring-shaped potential by using the supersymmetry method. The un-normalized eigenfunctions and the eigenvalue equation of the Dirac equation are presented. Some numerical results are given. We also discuss the special cases of this potential. In addition, valence energy states can be produced from our solution for the whole state by taking the appropriate transformation of parameters.

引用

页数：7

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