Central Potentials, Radial Equation, Derivation, Quantum Physics.
moving in a central potential the eigenstates of the Hamiltonian are simultaneous eigenstates of Lz and L2. Now, we have already found the simultaneous eigenstates of Lz and L2 — they are the spherical harmonics, Yl,m(θ, φ). It follows that the spherical harmonics are also eigenstates of the