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

共 10 条

[1] Shape Invariant and Rodrigues Solution of the Dirac-shifted Oscillator and Dirac-Morse Potentials
H. Panahi
L. Jahangiry
International Journal of Theoretical Physics, 2009, 48 : 3234 - 3240
[2] RODRIGUES SOLUTIONS OF THE DIRAC EQUATION FOR SHAPE-INVARIANT POTENTIALS: MASTER FUNCTION APPROACH
Panahi, H.
Jahangiry, L.
THEORETICAL AND MATHEMATICAL PHYSICS, 2010, 164 (02) : 1081 - 1088
[3] Rodrigues solution of the Dirac equation for fields obtained from the master function formalism
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ADVANCES IN HIGH ENERGY PHYSICS, 2019, 2019
[5] Supersymmetry and solution of Dirac equation with vector and scalar potentials
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[6] Solution of the Dirac Equation and the Solvable Potentials in the Schrodinger Equation
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[7] Supersymmetry and Solution of Dirac Equation with Vector and Scalar Potentials
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[8] Algebraic shape invariant potentials as the generalized deformed oscillator
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[9] Bound states of the Klein-Gordon and Dirac equation for scalar and vector pseudoharmonic oscillator potentials
Chen, G
Chen, ZD
Lou, ZM
CHINESE PHYSICS, 2004, 13 (03): : 279 - 282
[10] AN APPROXIMATE SOLUTION OF THE DIRAC EQUATION FOR HYPERBOLIC SCALAR AND VECTOR POTENTIALS AND A COULOMB TENSOR INTERACTION BY SUSYQM
Hassanabadi, H.
Maghsoodi, E.
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MODERN PHYSICS LETTERS A, 2011, 26 (36) : 2703 - 2718

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