>>16703545>It's the fact that "it's still angular momentum thougheverbeit xd" that confuses me.In modern conception, "angular momentum" is the conserved quantity that you get from rotational invariance (see Noether's theorem).
However, for a field with spin, a rotation doesn't just transform the spatial coordinates, but also internal coefficients of the field itself. You can see this in classical field theories as well (if you rotate a system that has an electromagnetic field, the field vectors now point somewhere else).
So the conserved quantity is the sum of the spatial part (the "orbital angular momentum"), and the internal part (the "spin").