- #1
stunner5000pt
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Homework Statement
Obtain the angular momentum operators [itex] L_{x} [/itex] and [itex] L_{y} [/itex] in the basis of functions [itex] Y^{\pm1}_{1}(\theta,phi}[/itex] and [tex] Y^{0}_{1}(\theta,phi}[/itex] in Lz representation2. 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}>[/tex]
from this i can determine the terms of the Lx matrix
similarly for the Ly matrix?
am i correct? Thanks for any help.