(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The square of the angular momentum operator is (in SPC);

http://img6.imageshack.us/img6/67/54712598.png [Broken]

Show that Y([itex]\theta[/itex],[itex]\phi[/itex]) = C[itex]sin^{2}[/itex][itex]\theta[/itex][itex]e^{2i\phi}[/itex]

Is an eigenfunction. C is a constant.

2. Relevant equations

3. The attempt at a solution

I am not able to get it in the form of (A number) times Y([itex]\theta[/itex],[itex]\phi[/itex]) = C[itex]sin^{2}[/itex][itex]\theta[/itex][itex]e^{2i\phi}[/itex]. No matter what, I always end up with;

-2C[itex]sin^{2}[/itex][itex]\theta[/itex][itex]e^{2i\phi}[/itex] - 4C[itex]e^{2i\phi}[/itex] - and I don't know what to do with that.

This is clearly not what I want, there is an extra term that I just can't seem to eradicate. What am I doing wrong?

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# Eigenfunction of Angular Momentum Squared Operator

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