Review schrodinger equations not dependent on 3D time in ball coordinates v² + V(F) )p(F) = E Þ(F) 2m With = (r, 0,9) and E is the energy system. Assume the potential is only radial function V(*) = V(r) To solve the Schrodinger equation above apply the method p(r, 0, q) = R(r)P(0)Q(9) variable separation problem : By defining u(r) = rR(r) where u(r) qualifies the limit of u(0) = 0 and u(--) = Show that fulfilling the radial equation u(r) h? d?u h2 l(1 + 1) +V(r) + 2m u = E u 2m dr2 r2

Review schrodinger equations not dependent on 3D time in ball coordinates v² + V(F) )p(F) = E Þ(F) 2m With = (r, 0,9) and E is the energy system. Assume the potential is only radial function V(*) = V(r) To solve the Schrodinger equation above apply the method p(r, 0, q) = R(r)P(0)Q(9) variable separation problem : By defining u(r) = rR(r) where u(r) qualifies the limit of u(0) = 0 and u(--) = Show that fulfilling the radial equation u(r) h? d?u h2 l(1 + 1) +V(r) + 2m u = E u 2m dr2 r2