The Schrodinger Equation for Hydrogen Atom As you may know, the Schrodinger equation for the wave function of atoms is the basis for quantum mechanics. In atomic units the radial Schrodinger equation for an electron in a hydrogen atom for which the orbital angular momentum quantum number is 0 is given by d2 2 (5.3+;+25)(T) =0, Where E is the total energy. (a) Suppose that, Mr) = exp(r/u)y('r) and E = 1/(2V2). Drive the differential equation for y(r). (b) Assume that the solution for y(r) is given by the series expansion 90') = 2', mm\" . 11:0 Show that, n(n. + Dan = (2/V)(n V)an_1. (c) Derive the solution for y(r) and, hence, for Mr) when :2 = 2