43

43. The Laplacian in spherical coordinates is given by v2_62+26+162+r21 \"96+ 1 62 _ 6T2 1" a?\" r2 662 CO 66 7'2 sin2 6 6g02 E2 in spherical coordinates is given by E2_h262+t661 62 _ 692 CO() +sin2(6)6g02 Combine two expressions to obtain the Laplacian in the form 62 26 1A Using the above Laplacian, write down the time independent Schrodinger equation. Next, using the function 7,0 = R(r)Ylm(9, go) as the eigenfunction, show that the time independent Schrodinger equation may be reduced to a second order differential equation of the function R0\")