The Nikiforov-Uvarov method is employed to calculate the Schrödinger equation with a rotation Morse potential. The bound state energy eigenvalues and the corresponding eigenfunction are obtained. All of these calculations present an effective and clear method under a Pekeris approximation to solve a rotation Morse model. Meanwhile the results got here are in a good agreement with ones before. P...

Weexplore the effect of the externalmagnetic andAharonov–Bohm (AB) flux fields on the energy levels of Dirac particle subjects to mixed scalar and vector anharmonic oscillator field in the twodimensional (2D) space. We calculate the exact energy eigenvalues and the correspondingun-normalized two-spinor-components wave functions in terms of the chemical potential parameter, magnetic field streng...

The one-dimensional spinless Salpeter equation has been solved for the PT -symmetric generalized Hulthén potential. The Nikiforov-Uvarov (NU) 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. We have investigated the positive an...

By using the generalized parametric Nikiforov–Uvarov (NU) method, we have obtained the approximate analytical solutions of the radial Schrödinger equation for a perturbed Yukawa potential. The energy eigenvalues and corresponding eigenfunctions are calculated in closed forms. Some numerical results are presented and compared with the standard Yukawa potential. Further, we found the energy level...

Abstract Contiguous hypergeometric relations for semiclassical discrete orthogonal polynomials are described as Christoffel and Geronimus transformations. Using the Christoffel–Geronimus–Uvarov formulas quasi-determinantal expressions shifted obtained.

The analytical solution of Dirac equation plays a vital role in relativistic quantum mechanics and solving the Dirac equation to obtain the bound-state energies for with different potential models using various methods for example Nikiforov-Uvarov method, The Laplace transform approach (LTA), factorization method and so on [1-6]. The quantum algebraic structure based to the ordinary CCRs in bot...

Fevziye Yasuk, Aysen Durmus and Ismail Boztosun Department of Physics, Erciyes University, 38039 Kayseri Turkey Abstract We present an alternative and simple method for the exact solution of the Klein-Gordon equation in the presence of the non-central equal scalar and vector potentials by using Nikiforov-Uvarov (NU) method. The exact bound state energy eigenvalues and corresponding eigenfunctio...

Using the Nikiforov-Uvarov method, the bound state energy eigenvalues and eigenfunctions of the PT -/non-PT -symmetric and non-Hermitian generalized Woods-Saxon (WS) potential with the real and complex-valued energy levels are obtained in terms of the Jacobi polynomials. According to the PT -symmetric quantum mechanics, we exactly solved the time-independent Schrödinger equation with same poten...

Multivariate orthogonal polynomials can be introduced by using a moment functional defined on the linear space of polynomials in several variables with real coefficients. We study the so-called Uvarov and Christoffel modifications obtained by adding to the moment functional a finite set of mass points, or by multiplying it times a polynomial of total degree 2, respectively. Orthogonal polynomia...

We present analytically the exact energy bound-states solutions of the Schrödinger equation in D-dimensions for a recently proposed modified Kratzer potential plus ring-shaped potential by means of the conventional Nikiforov-Uvarov method. We give a clear recipe of how to obtain an explicit solution to the wave functions in terms of orthogonal polynomials. The results obtained in this work are ...