# Supersymmetric approach to exact solutions of (1+ 1)-dimensional time-independent Klein-Gordon equation: Application to a position-dependent mass and a $\mathcal{PT}$𝒫𝒯-symmetric vector potential

@article{Zaghou2017SupersymmetricAT,
title={Supersymmetric approach to exact solutions of (1+ 1)-dimensional time-independent Klein-Gordon equation: Application to a position-dependent mass and a \$\mathcal\{PT\}\$𝒫𝒯-symmetric vector potential},
author={N. Zaghou and F. Benamira and L. Guechi},
journal={The European Physical Journal Plus},
year={2017},
volume={132},
pages={1-12}
}
• Published 24 January 2017
• Physics
• The European Physical Journal Plus
Abstract.Rigorous use of the SUSYQM approach applied for the Klein-Gordon equation with scalar and vector potentials is discussed. The method is applied to solve exactly, for bound states, two models with position-dependent masses and $\mathcal{PT}$𝒫𝒯-symmetric vector potentials, depending on some parameters. The necessary conditions on the parameters to get physical solutions are described. Some special cases are also derived by adjusting the parameters of the models.
1 Citations
• Physics
Indian Journal of Physics
• 2022
In this work, we present a method to solve the one-dimensional time-independent Dirac equation with position-dependent mass using the supersymmetric quantum mechanics (SUSY QM) approach and shape

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