The Schrodinger wave function for a stationary state of an atom is
ψ = Af (r) sin θ cos θeiϕ
where (r,θ,ϕ) are spherical polar coordinates. Find (a) the z component of the angular momentum of the atom (b) the square of the total angular momentum of the atom. (You may use the following transformations from Cartesian to spherical polar coordinates
