- #1
isochore
- 12
- 1
- Homework Statement
- Find ## \langle l, m \vert \exp((a+ bi)L_z) \vert l, m \rangle ##
- Relevant Equations
- ## L_z \vert l, m \rangle = \hbar m \vert l, m \rangle ##
## [L_x, L_y] = i \hbar L_z ##
I am struggling to figure out how to calculate the expectation value because I am finding it hard to do something with the exponential. I tried using Euler's formula and some commutator relations, but I am always left with some term like ##\exp(L_z)## that I am not sure how to get rid of.