Pseudo-Harmonic Oscillatory Ring-Shaped Potential in a Relativistic Equation

被引：17

作者：

Eshghi, M. ^{[1
]}

机构：

[1] Imam Hossein Comprehens Univ, Fac Sci, Dept Phys, Tehran, Iran

来源：

CHINESE PHYSICS LETTERS | 2012年 / 29卷 / 11期

关键词：

KLEIN-GORDON EQUATION; DIRAC-EQUATION; SCHRODINGER-EQUATION; SYMMETRY;

D O I：

10.1088/0256-307X/29/11/110304

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Exact solutions of the Dirac equation are studied for the pseudo-harmonic oscillatory ring-shaped potential by using the Laplace transform approach and the Nikiforov-Uvarov (NU) method. The normalized eigenfunctions are expressed in terms of hyper-geometric series and use the NU and Laplace methods to obtain the eigenvalues equations. The obtained result of the eigenvalue equation is compared. At the end, one can find with a simple transformation the lower spinor component of the Dirac equation.

引用

页数：3

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