1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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


    User Avatar
    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?
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted