Numerical solution for one-dimensional independent of time Schrödinger Equation

Abstract

In this paper, one of the numerical solution method of one- particle, one dimensional timeindependent<br />Schrodinger equation are presented that allows one to obtain accurate bound state eigen<br />values and functions for an arbitrary potential energy function V(x).<br />For each case, we draw eigen functions versus the related reduced variable for the corresponding<br />energies. The paper ended with a comparison of the result obtained by the numerical solutions with<br />those obtained via the analytical solutions. The agreement between the results obtained by analytical<br />solution method and numerical solution is represents the top Numerov method for numerical solution<br />Schrodinger equation with different potentials energy.