Shape invariant and Rodrigues solution of the Dirac-shifted oscillator and Dirac-Morse potentials

DOI10.1007/s10773-009-0126-7zbMath1184.81051OpenAlexW1988919251MaRDI QIDQ849123

N. E. Zubov

Publication date: 24 February 2010

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-009-0126-7

zbMATH Keywords

shape invarianceDirac-MorseDirac-shifted oscillatorRodrigues representation

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Related Items (3)

Exact solution of the Dirac equation for the Yukawa potential with scalar and vector potentials and tensor interaction ⋮ The \((2+1)\) curved Dirac equation in polar coordinates in the presence of electromagnetic field ⋮ ALGEBRAIC APPROACH TO QUASI-EXACT SOLUTIONS OF THE KLEIN–GORDON–COULOMB PROBLEM

Cites Work

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• Parasupersymmetry and shape invariance in differential equations of mathematical physics and quantum mechanics
• Supersymmetry and shape invariance in differential equations of mathematical physics.
• Solutions of the Dirac equation with the four-parameter diatomic potential
• Bound states of relativistic particles in the generalized symmetrical double-well potential
• Generalized ladder operators for the Dirac-Coulomb problem via SUSY QM
• Relativistic extension of shape-invariant potentials

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