- #1

- 933

- 56

I used the "proportional to" symbol instead of the "equal to" symbol because I left some terms out, which I guess, are not relevant to my specific question.

So the point of my question is whether or not we can write the matrices ##D^{(j)}## as $$D^{(j)} (R_z) =

\begin{pmatrix}

e^{-ij\varphi} & \dots & 0 \\

\vdots & \ddots & \vdots \\

0 & \dots & e^{ij\varphi}

\end{pmatrix}$$

when ##R_z## is a rotation by ##\varphi## about the z-axis.