Shape Invariant and Rodrigues Solution of the Dirac-shifted Oscillator and Dirac-Morse Potentials

被引：5

作者：

Panahi, H. ^{[1
]}

Jahangiry, L. ^{[1
]}

机构：

[1] Univ Guilan, Dept Phys, Rasht 413351914, Iran

来源：

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2009年 / 48卷 / 11期

关键词：

Dirac-shifted oscillator; Dirac-Morse; Rodrigues representation; Shape invariance; DIFFERENTIAL-EQUATIONS; MATHEMATICAL PHYSICS; SUPERSYMMETRY;

D O I：

10.1007/s10773-009-0126-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We show that the Dirac equation for a charged spinor in spherically symmetric electromagnetic potentials as Dirac-shifted oscillator and Dirac-Morse potentials have the conditions of shape invariant symmetry in non-relativistic quantum mechanics. The relativistic spectra of the bound states and spinor wavefunctions can be obtained by the Rodrigues polynomials of one associated differential equation.

引用

页码：3234 / 3240

页数：7

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