Hello,
I have this matrix element
\langle n', l', m'| x |n, l, m \rangle
where x=rsin\theta cos\phi in spherical polars
Which I write explicitly as:
=\int \int \int R_{n', l'} R_{n, l} A_{l', m'} A_{l, m} P^{m'}_{l'} P^{m}_{l} e^{im\phi} e^{-im\phi} rsin\theta cos\phi r^{2} sin \theta d...