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Quantum Physics: Gaussian Wave Packets

  1. May 3, 2014 #1

    VVS

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    1. The problem statement, all variables and given/known data
    This is the problem sheet that I am solving at the moment:
    View attachment T2SS14-Ex6.pdf


    2. The attempt at a solution
    I have already solved 17.
    Here is my solution to 17:
    View attachment Übung 17_3.pdf

    Now I am working on 18.
    I am trying to show that the probability density function is conserved. I.e the integral of the absolute value of the wavefunction in position space squared is equal to 1 for all t.
    But somehow I am not getting 1.
    Here is what I have so far:
    View attachment Übung 18_3.pdf
     
  2. jcsd
  3. May 3, 2014 #2
    You just have to plug your expressions for r and θ back in your result and you will get 1.
     
  4. May 4, 2014 #3

    VVS

    User Avatar

    Thanks you're right!
     
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