We present a new approach to study class of non-Hermitian (1+1)-dimensional Dirac Hamiltonian in the presence local Fermi velocity. apply well known Nikiforov-Uvarov method solve such system. discuss applications and explore solvability both $\mathcal{PT}$-symmetric non-$\mathcal{PT}$ symmetric classes potentials. In former case we obtain solution harmonic oscillator linear vector potential whi...

Analytical solutions of the N-dimensional Schrödinger equation for newly proposed Varshni-Hulthén potential are obtained within framework Nikiforov-Uvarov method by using Greene-Aldrich approximation scheme to centrifugal barrier. The numerical energy eigenvalues and corresponding normalized eigenfunctions in terms Jacobi polynomials. Special cases equally studied their agreement with those pre...

Hulthén plus Hellmann potentials are adopted as the quark-antiquark interaction potential for studying mass spectra of heavy mesons. We solved radial Schrödinger equation analytically using Nikiforov-Uvarov method. The energy eigenvalues and corresponding wave function in terms Laguerre polynomials were obtained. present results applied calculating mesons such charmonium bottomonium. Four speci...

Abstract Dunkl derivative enriches solutions by discussing parity due to its reflection operator. Very recently, one of the authors this manuscript presented most general forms that depends on three Wigner parameters have a better tuning. In manuscript, we employ latter generalized in relativistic equation examine two dimensional harmonic and anharmonic oscillators solutions. We obtain Nikiforo...

The approximate analytic bound state solutions of the Klein-Gordon equation with equal scalar and vector exponential-type potentials including the centrifugal potential term are obtained for any arbitrary orbital quantum number l and dimensional space D. The relativistic/non-relativistic energy spectrum formula and the corresponding un-normalized radial wave functions, expressed in terms of the...