Prove
(a) that ψ ± = N (x ± iy)f(r) is an eigenfunction of L^2 and Lz and
set the eigenvalues corresponding.
(b) Construct a wave function ψ_0(r) that is an eigenfunction of L^2
whose eigenvalue is the same as that of a), but whose eigenvalue Lz
differs by a unit of the one found in a).
(c) Find an eigenfunction of L^2 and Lx, analogous to those of
parts a) and b), which have the same eigenvalue L^2 but...