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Probability Distribution Question

  1. May 17, 2009 #1
    1. The problem statement, all variables and given/known data
    The stationary schrodinger equation for a particle moving in a potential well has 2 solutions
    psi_1 (x) = e^(-ax^2), with Energy, E_1, and
    psi_2 (x) = xe^(-ax^2) with Energy, E_2.

    At t = 0 the particle is in the state
    psi(x) = psi_1(x) + psi_2(x)

    a)Calculate the probability distribution for the particle as a function of time
    b)Find the time at which the probability distribution returns to the initial value


    2. Relevant equations



    3. The attempt at a solution
    Again no progress on this one, i have no idea, thank you in advance for any help offered.
     
  2. jcsd
  3. May 19, 2009 #2

    malawi_glenn

    User Avatar
    Science Advisor
    Homework Helper

    of course one always have ideas, come on, you can atleast try to find the equations which you think are relevant and say what you DO think you understand and what you dont't. Just saying "i have no idea" will not help you. You HAVE to give attempt to solution if you want help here.

    Hint: Look for time evolution, how is time evolution implemented in quantum mechanics? Look through your books and notes. How do we make a time independent state to become time dependent?
     
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