Numerical study of the radial Schrodinger Equation for Hydrogen atom using Legendre wavelet

This paper deals with the Legendre wavelet (LW) collocation method for the numerical solution of radial Schr¨odinger equation for hydrogen atom. Energy eigenvalues for the hydrogen bound system is derived −13.6 eV . Numerical results of the ground state modes of wave function for the hydrogen atom R(r), or the electron probability density function, has been presented. The numerical results have been compared to the other existing method and exact solution.