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

被引：0
作者：
H. Panahi
L. Jahangiry
机构：
[1] University of Guilan,Department of Physics
来源：
International Journal of Theoretical Physics | 2009年 / 48卷
关键词：
Dirac-shifted oscillator; Dirac-Morse; Rodrigues representation; Shape invariance;
D O I：
暂无
中图分类号：
学科分类号：
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
收藏
页码：3234 / 3240
页数：6
相关论文
共 22 条
  • [1] Alhaidari A.D.(2001)Solution of the relativistic Dirac-Morse problem Phys. Rev. Lett. 87 210405-21408
  • [2] Alhaidari A.D.(2002)Relativistic shape invariant potentials J. Phys. A: Math. Gen. 35 6207-6216
  • [3] Cooper F.(1995)Supersymmetry and quantum mechanics Phys. Rep. 251 267-385
  • [4] Khare A.(1988)Explicit wavefunctions for shape invariant potentials by operator technique J. Phys. A: Math. Gen. 21 L195-L200
  • [5] Sukhatme U.(1988)Supersymmetry, shape invariance and exactly solvable potentials Am. J. Phys. 56 163-122
  • [6] Dabrowska J.(2004)Solution of the Dirac equation with four-parameter diatomic potentials Phys. Lett. A 328 116-170
  • [7] Khare A.(1997)Supersymmetry and shape invariance in differential equations of mathematical physics Phys. Lett. A 230 164-276
  • [8] Sukhatme U.(1998)Parasupersymmetry and shape invariance in differential equations of mathematical physics and quantum mechanics Ann. Phys. 262 260-L819
  • [9] Dutt R.(1989)The Dirac oscillator J. Phys. A: Math. Gen. 22 L817-46
  • [10] Khare A.(2004)Generalized ladder operators for the Dirac-Coulomb problem via SUSY QM Phys. Lett. A 326 42-196
123