This paper presents the basics of the QQ-onia package, a software based upon the Numerov 0(h) method which can be used to solve the Schrödinger radial equation using a suitable potential V (r) for the heavy quarkonium system. This package also allows the analysis of relevant properties of those resonances such as the square of the wave functions at the origin, their corresponding derivatives fo...

We present a stable scheme to calculate continum and bound electronic states in the vicinity of a surface of a semi-infinite crystal within the framework of density functional theory. The method is designed for solution of the Kohn-Sham equations in a pseudpotential formulation, including both local and separable nonlocal contributions. The method is based on the Numerov integration algorithm a...

In this paper, the numerical solution methods of one- particale, one – dimensional time- independentSchrodinger equation are presented that allows one to obtain accurate bound state eigen values andeigen functions for an arbitrary potential energy function V(x). These methods included the FEM(Finite Element Method), Cooly, Numerov and others. Here we considered the Numerov method inmore details...

We derive a general renormalized potential-following propagation method that efficiently solves the coupled-channels equations. The step size is variable, the method is compatible with reactive boundary conditions, and the algorithm may be combined with other renormalized algorithms, such as renormalized Numerov. We diagonalize the coupling matrix and consider piece-wise constant and linear ref...

In order to represent the potential energy function over the whole range of R, many potentialenergy functions have been proposed. In the present paper, we employ many potential energyfunctions, to use Numerov method for solving the nuclear Schrödinger equation for the IFmolecule, as an example of a heteronuclear diatomic molecules. Then we determine thespectroscopic constants eω , e e x ω , e B...

In this article, the mass spectra of mesons with one or two heavy quarks and their diquarks partners are estimated within a non-relativistic framework by solving Schr\"odinger equation an effective potential inspired symmetry preserving Poincar\'e covariant vector-vector contact interaction model quantum chromodynamics. Matrix Numerov method is implemented for purpose. our survey quarks, we fix...

Abstract Charmonium is a composite particle composed of charm and anti-charm quark. Studying spectroscopy on charmonium one effort to understand the strong interactions. In this study, mass spectrum modeled within non-relativistic framework. As result, we can use Schrödinger equation describe system. The results obtained with framework are reasonable for because relatively large compared quark ...

QUANTUM REACTIVE SCATTERING METHOD In this section, we outline the quantum scattering algorithm used to calculate the total NH + NH reactive cross sections. Before discussing our approach in detail, let us recall the basics of already established single-arrangement reactive scattering methods. Conventional single-arrangement algorithms combine a standard inelastic scattering calculation, e.g., ...