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Superposition of basis states?

  1. Aug 4, 2008 #1
    1. The problem statement, all variables and given/known data

    consider the state [tex](\frac{1}{2}, \frac{1}{2}, \frac{1}{\sqrt{2}})[/tex] in [tex]L_z[/tex] basis. If [tex]L_x^2[/tex] is measured and the result of 0 is obtained, find the final state after the measurement. How probable is this result?

    3. The attempt at a solution

    I'm not sure if the state is superposition of the known ground states of L_x in L_z representation. How to find the state of the system after the measurement? And should I sum the probabilities of getting each of that state eigenvalues?

  2. jcsd
  3. Aug 4, 2008 #2
    any moderator, please move my question to quantum physics forum. thanks.
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