Sorry, just a mistype, should have been ϕ.
So I get -i\hbar R(r)\Theta(\theta)\frac{\partial \Phi}{\partial \phi}=X R(r)\Theta(\theta)\Phi(\phi)
Cancelling the R and θ functions, I get
-i\hbar \frac{\partial \Phi}{\partial \phi}=X \Phi(\phi)
Then solving for \Phi I get
\Phi =...
Thanks for the responses.
Thanks, I have had a go but not sure I am on the right lines.
I start with;
-i\hbar \frac{\partial}{\partial \theta} \psi = X \psi
where X is the eigenvalue? Is this right? If I proceed this way, I get the eigenfunction as an exponential.
The form of \hat{L}^2 I...
The problem involves measurement in a quantum system with angular momentum. There are two parts I am struggling with. Apologies for the images, I tried to put it all in latex but failed!
Part 1:
http://i2.sqi.sh/s_1/1xo/part1.jpg
I have found a long derivation in a book involving a...