Analytical Solutions of Klein-Gordon Equation with Position-Dependent Mass for q-Parameter Poschl-Teller potential
Altug Arda, Ramazan Sever, Cevdet Tezcan
TL;DR
This paper derives analytical solutions for the Klein-Gordon equation with a q-parameter Poschl-Teller potential and position-dependent mass using a generalized Nikiforov-Uvarov method, advancing quantum mechanical modeling techniques.
Contribution
It introduces an analytical approach to solve the Klein-Gordon equation with a specific potential and mass distribution, extending existing methods.
Findings
Explicit energy eigenvalues obtained
Eigenfunctions derived analytically
Method applicable to similar quantum systems
Abstract
The energy eigenvalues and the corresponding eigenfunctions of the one-dimensional Klein-Gordon equation with q-parameter Poschl-Teller potential are analytically obtained within the position-dependent mass formalism. The parametric generalization of the Nikiforov-Uvarov method is used in the calculations by choosing a mass distribution.
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