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Homework Help: Possible measurement, eigenvalues of eigenfunctions and probabilities

  1. Jan 26, 2014 #1
    1. The problem statement, all variables and given/known data

    Suppose the angular wavefunction is ##\propto (\sqrt{2} cos(\theta) + sin (\theta) e^{-i\phi} - sin (\theta) e^{i\phi})##, find possible results of measurement of:

    (a) ##\hat {L^2}##
    (b)##\hat {L_z}##

    and their respective probabilities.

    2. Relevant equations

    3. The attempt at a solution

    Part (a)
    Eigenvalue is ##2\hbar^2##. Thus that is the possible result. How do I find the probability of that outcome?
  2. jcsd
  3. Jan 27, 2014 #2


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    Science Advisor

    Ahem. I think you could put more than <nothing> in your "relevant equations" section. E.g., what are explicit expressions for your operators in this case? You could also write the general formula for computing a probability for a particular observable and a given state. You could also show some detail of how you arrived at the eigenvalue for ##\hat L^2##.

    It also wouldn't hurt to state the source of your question.

    Bear in mind that if you're unwilling to put more effort into your post, then why should others put effort into helping you?
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