We present the exact and iterative solutions of the radial Schrödinger equation for a class of
potentials,, for various values of κ from− 2 to 2, for any n and l quantum states by applying …

The Schrödinger equation for a potential being the sum of a harmonic oscillator potential, a
linear potential, and a Coulomb potential has been solved by the Nikiforov–Uvarov method …

We consider the analytical properties of the eigenspectrum generated by a class of central
potentials given by V (r)=− a/r+ br 2, b> 0. In particular, scaling, monotonicity, and energy …

Exact solutions to the d-dimensional Schrödinger equation, d⩾ 2, for Coulomb plus
harmonic oscillator potentials V (r)=− a/r+ br 2, b> 0, and a≠ 0 are obtained. The potential V …

We have previously formulated a program for deducing the intervals of oscillations in the
solutions of ordinary second-order linear homogeneous differential equations. In this work …

Reparametrization of Wigner's correlation energy density functional yields a very close fit to
the correlation energies of the helium isoelectronic sequence. However, a quite different …

In this paper, we investigate the possibility of finding polynomial solutions to central
potentials of the radial Schrödinger equation. By setting up the proper conditions that join …

The approximate wave functions for excited states are constructed in the framework of a
perturbative-variational method with the help of a new minimization procedure for integral …

We focus on a recently developed generalized pseudospectral method for accurate, efficient
treatment of certain central potentials of interest in various branches in quantum mechanics …

The approximate radial wave functions for the Cornell potential describing quark-antiquark
interaction are constructed in the framework of a variational method. The optimal values of …