Central Potentials, Radial Equation, Derivation, Quantum Physics.
automatically commute with L2 and Lz. Moreover, L2 commutes both with itself, and with Lz. It is, therefore, clear that the above Hamiltonian commutes with both Lz and L2. Now, if two operators commute with one another then they possess simultaneous eigenstates. We thus conclude that for a particle