Compute [ZY1,m(0, 4) for the following spherical harmonic wave functions. (Use the following as necessary: i, h, p, and 0.) (a) Yo,D(0, () - 3/(47) 1/2 0 (b) Y1,o(0, 4) = (1/41) 1/2 cos 0 (c) Y1, -1(0, 4) = (7/8n)1/2 sin Belo (d) V1,1(0, 4) = (7/8n) 1/2 sin de lo Do you find anything interesting about the results? All examples are eigenfunctions of L 2 and the eigenvalues are multiples of /12. @ All examples are eigenfunctions of L and the eigenvalues are multiples of /. Examples (b), (c), and (d) are eigenfunctions of L and the eigenvalues are multiples of h. Examples (b), (c), and (d) are eigenfunctions of _2 and the eigenvalues are multiples of /2 Submit