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!

Revival Time

  1. Oct 21, 2009 #1


    User Avatar

    1. The problem statement, all variables and given/known data

    [tex]\Psi[/tex](x,0) = A[[tex]\psi[/tex]1 + [tex]\psi[/tex]2 + [tex]\psi[/tex]3]

    How long will [tex]\Psi[/tex](x,t) take to go back to [tex]\Psi[/tex](x,0) ?

    E1, E2, E3 are the energies associated with each [tex]\psi[/tex]1, [tex]\psi[/tex]2, [tex]\psi[/tex]3.

    2. Relevant equations


    3. The attempt at a solution

    I multiplied [tex]\Psi[/tex](x,0) by e-iEnt/h. The problem is that, there are three different values of energy associated with each [tex]\psi[/tex]
  2. jcsd
  3. Oct 23, 2009 #2


    User Avatar
    Homework Helper

    show your work...

    its been a while since i've done this stuff, but i think that E_n should be thought of as an operator, so it will operate on each energy eigenstate to gives its energy in the phase term

    the question will then amount to, based on the different energies, at what time, does psi(x,t) differ from psi(x,0) in only an overall phase.

    IF you need more, think of the phase as being an arrow on a clock. The energy determines how fast each arrow rotates. So if the 3 arrows start of together all rotating at different speeds, at what time do they all line up again?
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Threads - Revival Date
Revive Resistance - Series & Parrallel Apr 24, 2008