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So what did everyone think of the test? I thought the length was pretty good. I didn't, however, know what to do on problem 1 and am thinking that most people did get this one. I just didn't know what to do to show that it was an eigenfunction. Anyway I don't feel too bad about it because of the 20 point bonus that I think I got on the last problem. How'd everyone else fair?

I skipped over problem 1 twice before I realized I needed to consider <math>L</math>, <math>L_x</math>, <math>L_y</math>, <math>L_z</math> in spherical coordinates. With <math>\hat\phi=sin\phi-cos\phi</math> and <math>L_z</math> is the only one that commutes with <math>exp{im\phi}</math>. Or something to that effect. I'm sure I botched the proof on my exam so hopefully I get good partial too.

I just showed that operating <math>L_{z}</math> on <math>\psi</math> was equivalent to multiply <math>\psi</math> by a constant <math>\lambda</math>.

What is the coverage for final exam? Does it include all chapters which we've learned until now?

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