# Angular momentum operators

1. Oct 30, 2007

### stunner5000pt

1. The problem statement, all variables and given/known data
Obtain the angular momentum operators $L_{x}$ and $L_{y}$ in the basis of functions $Y^{\pm1}_{1}(\theta,phi}$ and $$Y^{0}_{1}(\theta,phi}[/itex] in Lz representation 2. The attempt at a solution To calculate the matrices for the Lx and Ly operators, do i simply have to take the relevant spherical harmonics and apply Lx and Ly like this To form the Lx the terms are given for n'n term of the matrix [tex] (L_{x})_{n'n} = <\psi^{(n'-2)}_{1}|L_{x}|\psi^{(n-2)}_{1}>$$

from this i can determine the terms of the Lx matrix
similarly for the Ly matrix?

am i correct? Thanks for any help.

2. Oct 31, 2007

### Meir Achuz

It's easier to use the raising and lowering operators L+ and L-.