Rodrigues solutions of the dirac equation for shape-invariant potentials: Master function approach
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- 作者：H. Panahi and L. Jahangiry
- 关键词：Dirac equation ; Rodrigues polynomial ; shape ; invariant potential ; master function approach
- 刊名：Theoretical and Mathematical Physics
- 出版时间：August 2010
- 出版年：2010
- 期刊代码：71_00405779
- 类别：law
- 卷：164
- 期：2
- 页码：1081-1088
- 数据来源：sp
摘要
We show that a Schr枚dinger-like differential equation for the upper spinor component, derived from the Dirac equation for a charged spinor in spherically symmetric electromagnetic potentials, can be transformed into the Schr枚dinger equation with some shape-invariant potentials. By choosing different electrostatic potentials and relativistic energies and also introducing new functions and changing the variables, we show that this equation transforms into the differential equations in mathematical physics. We solve these equations using the master function approach and write the spinor wave functions in terms of Rodrigues polynomials associated with these differential equations.