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Spherical harmonics

  1. Sep 3, 2016 #1
    1. The problem statement, all variables and given/known data
    In t=0, wave function of the particle that moves freely on the surface of the sphere has the wave function:

    Ψ(Φ,θ) = (4+√5 +3√5cos2θ)/(8√2π)
    what is time-dependent wave function?


    2. Relevant equations
    Spherical harmonics

    3. The attempt at a solution
    I tried normalizing this wave function and got (2π)¼. I don't think that is right. Was I even supposed to normalize this function?. Regardless of normalization, I don't know how to proceed.
     
  2. jcsd
  3. Sep 3, 2016 #2

    pasmith

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    Homework Helper

    Do you have a general solution for the wave function in terms of a series of spherical harmonics?

    Do you know how to determine the coefficients in that series given an arbitrary initial condition?
     
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