Numerical study of radial Schrödinger Equation for free particle,using Legender wavelet

This paper deals with the Legendre wavelet (LW) collocation method for the numerical solution of theradial Schrödinger Equation for free particle (electron) in spherical coordinate. Approximately analyticalalso numerical results of the ground state mode l = 0, of wave function or probability density functionR(r), has been presented and compared with the exact solution

Keywords:

Schrödinger equation , Potential barrier , Legendre wavelet , Collocation method