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Quantum mechanics(expected probability)

  1. Jun 29, 2011 #1
    1. The problem statement, all variables and given/known data

    suppose we have two particles, first with probable states A1,A2,A3 and state B1,B2,B3 each with a certain probability P
    Now if we know the probability of composite state |C> is Q
    what is the probability to get the first particle to be A1?

    im troubled. please help thanks

    Here ,probability of getting C is any linear combination of A and B = aP(A)+bP(B)

    2. Relevant equations

    3. The attempt at a solution
    i have tried to do like this
    because C equals one of these 9 states (A1,A2,A3)+(B1,B2,B3)
    lets call them |1>,|2>,....,|9>

    i dont know how to relate use the "resultant" prbability to get back the original component probability

    is it correct to use, for example <C|1> in calculation, im in trouble
  2. jcsd
  3. Jul 2, 2011 #2
    You have a very fuzzy explanation of the problem, but isn't it as simple as (A1,Bi) summed over i?
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