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Homogeneous gravity field time evolution position and momentum operato

  1. May 15, 2014 #1

    VVS

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    1. The problem statement, all variables and given/known data
    I am trying to solve Problem 21 from this sheet:
    View attachment T2SS14-Ex7.pdf


    2. Relevant equations
    The equation describing the time evolution of operators is given in the problem.


    3. The attempt at a solution
    I have found the commutators of the position and momentum operator with the Hamiltonian.
    View attachment Übung 21_3.pdf
    I don't know how to do the rest of the exercise.
     
  2. jcsd
  3. May 17, 2014 #2

    Simon Bridge

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    (a) See equation (5) relating the commutator to the time evolution to get ##\hat X(t)## and ##\hat P(t)##
    (b) follows from there.
     
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