Angular momentum expectation (source code)

= Angular momentum expectation

For a normalized periodic angular <wavefunction>, $\langle L_z\rangle=-i\hbar\int_0^{2\pi}\psi^*\partial_\phi\psi\,d\phi$. A real periodic <wavefunction> with matching boundary values has zero mean, even though nonzero angular momenta can have positive measurement probabilities.