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QM questions

  1. Oct 1, 2006 #1
    Hey,

    I am a little confused with this system 1/2 particles spin at t=0

    |PSI(0)> = 1/sqrt(3) (|+>_1|+>_2 + |+>_1|->_2 + |->_1|->_2

    the values of S_1z and S_2z are measured at t=0. Then I have to calculate the probability that the same value will be found for the two particles.

    Any help apreciated
     
  2. jcsd
  3. Oct 1, 2006 #2

    Meir Achuz

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    The probability of measuring each of the three states is 1/3.
    How many of the states have s_1z=s_2z?
     
  4. Oct 1, 2006 #3
    hmmm. I get that the probability for the three states is 1/3
    P = |<a|a>|^2 for each of the vectors. So the probability for measuring the same state for two particles can be calculated using conditional probability ?

    Thanks for your reply
     
  5. Oct 2, 2006 #4

    Meir Achuz

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    Two states have the same spin,, so the prob is 2/3.
     
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