Just a quick confirmation-possible angular momentum states of rotator.

intelwanderer
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Homework Statement



Wow, the site looks way different from when I was last here. Nice job to whoever did this!

Now, to business...

My question pertains to part 2a of the HW. I've gotten the wavefunction in terms of the spherical harmonics, but I need help bringing it on home, so to speak. My question are pretty stupid actually. When you get the wavefunction(it's already normalized, or so I think), is the possible states just that-the wavefunction, or do you multiply by the eigenvalue of Lz? And the probabilities... do you integrate the whole wavefunction squared with the spherical harmonics, or just the front coefficient squared?

Thank you for your time.


https://courses.utexas.edu/bbcswebdav/pid-5341865-dt-content-rid-23947515_1/courses/2013_spring_58640_PHY_373/hmwrk7.pdf


Homework Equations


Irrelevent.


The Attempt at a Solution



I have the answers to each case already, I just need to know which case is right. I'm probably being overly paranoid, but...
 
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Well, it doesn't really matter now anyway, I turned in the homework several hours ago.
 
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