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. Gu{\'e}chi},
  journal={The European Physical Journal Plus},
  year={2017},
  volume={132},
  pages={1-12}
}
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. 
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References

SHOWING 1-10 OF 67 REFERENCES

Exact Solutions of the Klein–Gordon Equation with Position-Dependent Mass for Mixed Vector and Scalar Kink-Like Potentials

The relativistic problem of spinless particles with position-dependent mass subject to kink-like potentials (~tanh αx) is investigated. By using the basic concepts of the supersymmetric quantum

Bounded Solutions of the Dirac Equation with a PT-symmetric Kink-Like Vector Potential in Two-Dimensional Space-Time

Abstract The (1+1)-dimensional Dirac equation with a PT-symmetric kink-like vector potential is investigated. By using the basic concepts of the supersymmetric WKB formalism and the function analysis

Position-dependent effective mass Schrödinger equations for PT-symmetric potentials

We use the method of point canonical transformations and choose the Rosen-Morse-type potential as the reference potential to study exact solutions of the position-dependent effective mass Schrödinger

Bound state solutions of the Klein–Gordon equation with position-dependent mass for the inversely linear potential

In this paper we study the problem of the relativistic motion of a spin-zero particle in one dimension where the potential energy and mass are inversely proportional to the distance from the force

Position-dependent effective mass Dirac equations with PT-symmetric and non-PT-symmetric potentials

We present a new procedure to construct the one-dimensional non-Hermitian imaginary potential with a real energy spectrum in the context of the position-dependent effective mass Dirac equation with

Solutions of One-Dimensional Effective Mass Schrödinger Equation for PT-Symmetric Scarf Potential

The one-dimensional effective mass Schrödinger equation for PT -symmetric Scarf potential is investigated. The analytical expressions of energy eigenvalue and corresponding wave function are

(1+1)-Dirac Particle with Position-Dependent Mass in Complexified Lorentz Scalar Interactions: Effectively $\mathcal{PT}$ -Symmetric

Abstract The effect of the built-in supersymmetric quantum mechanical language on the spectrum of the (1+1)-Dirac equation, with position-dependent mass (PDM) and complexified Lorentz scalar
...