Fractional Nikiforov‐Uvarov Formalism for Dunkl‐Schrödinger Equation With Deng‐Fan Molecular Model

ABSTRACT The effect of Dunkl deformation parameters on the energy eigenvalues of the Deng‐Fan potential is evaluated in this study. The conformable fractional Nikiforov‐Uvarov method is employed to obtain the eigensolutions by solving the nonrelativistic Dunkl Schrödinger equation. The Pekeris approximation scheme is used to check the centrifugal barrier term. In addition, the energy solutions of Deng‐Fan potential are obtained in the Minkowski space‐time and without the Dunkl deformation parameter, as special cases. Energy eigenvalues for the selected diatomic molecules are seen to be significantly influenced by the Dunkl deformation parameter, fractional parameter, kinetic pre‐factor and quantum state values considered. Our numerical results are also supported with graphical illustrations, which are discussed extensively.