Eur. Phys. J. Plus (2017) 132: 40
https://doi.org/10.1140/epjp/i2017-11315-2

Regular Article

Supersymmetric approach to exact solutions of (1+ 1)-dimensional time-independent Klein-Gordon equation: Application to a position-dependent mass and a -symmetric vector potential

Laboratoire de Physique Théorique, Département de Physique, Faculté des Sciences Exactes, Université Mentouri Constantine, Route d’Ain El-Bey, 25000, Constantine, Algeria

^* e-mail: benamira@umc.edu.dz

Received: 11 November 2016
Accepted: 21 December 2016
Published online: 24 January 2017

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 -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.