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Perturbation in Infinite Square well

  1. Nov 28, 2009 #1
    1. The problem statement, all variables and given/known data
    Calculate the 1st order probability an electron in the ground state of an infinite sqaure well (width 1) will be found in the first excited state t seconds after the pertubation H=sin(PI*x) is switched on.

    2. Relevant equations
    Transition frequency is omega_12

    3. The attempt at a solution
    I know to begin this question I need to calculate the integral between 0 and 1 of the product of the ground state wavefunction, pertubation, and 1st excitied wavefunction. The product comes to sin^2(PI*x)sin(2PI*x), which when integrated comes to zero!
    Any suggestions??
    (ps I know that this integral will not give the final answer, but I know exactly what to do after this step)
  2. jcsd
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