1. Not finding help here? Sign up for a free 30min 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!

Given a wave function at t=0, how do you find the wave function at time t?

  1. Oct 24, 2010 #1
    I am given the following:

    A spherically propogating shell contains N neutrons, which are all in the sate


    at t = 0.

    How do we find [tex]\psi[/tex](r,t)?

    My attempt:

    I have a few thoughts; could you apply the time-independent schrodinger equation to find the energy of the state? If that is the case then you would simply tack on the factor of [tex]e^{-i\omega*t}[/tex]. Then you would know that [tex]\hbar*\omega[/tex]=E. . . . right?
  2. jcsd
  3. Oct 24, 2010 #2
    I think that should do it. With the TISE, and the TDSE factor, I think you can it.
  4. Oct 25, 2010 #3
    This will do if your state is energy eigenstate. If it is a linear combination of energy eigenstates, then you will have to multiply each term by the appropriate phase factor. In this case summation of the new series to get a closed formula may not be easy.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook