Bound states of the Dirac equation for the PT-symmetric generalized Hulthén potential by the Nikiforov–Uvarov method

Abstract

The one-dimensional Dirac equation is solved for the PT-symmetric generalized Hulthén potential. The Nikiforov-Uvarov method which is based on solving the second-order linear differential equations by reduction to a generalized equation of hypergeometric type is used to obtain exact energy eigenvalues and corresponding eigenfunctions.

Bound-State Solutions of the Klein-Gordon Equation for the Generalized PT-Symmetric Hulthén Potential

“…In a recent work [25], we have presented the bound-state solutions of the onedimensional Dirac equation in the vector coupling scheme for PT-symmetric potentials with complexified generalized Hulthén potential. In this study we will be dealing with bound-state solutions of the one-dimensional KG equation in the scalar coupling scheme for real and complex forms of generalized Hulthén potential.…”

Asymptotic Iteration Method: A Powerful Approach for Analysis of Inhomogeneous Dielectric Slab Waveguides

“…Recently, a novel approach presented to solve the light propagation through one dimensional inhomogeneous slab waveguide analytically based on Nikiforov-Uvarov method [1]. This mathematical method is based on reducing the second order linear differential equations to a generalized equation of hyper-geometric type [1][2][3][4][5][6][7].…”

A New Mathematical Proposal for Generation of Shape Invariant Potentials and Optical Medium Using Supersymmetric Quantum Mechanics

“…In this framework the various methods have been used in their solutions. Recently, an alternative method known as the Nikiforov-Uvarov (NU) method [15] has been introduced for solving the related equation in the both relativistic and non-relativistic quantum mechanics [16][17][18][19][20][21][22][23][24].…”