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!

Homework Help: Harmonic oscillator problem

  1. May 20, 2013 #1
    1. The problem statement, all variables and given/known data
    consider a harmonic oscillator of mass m and angular frequency ω, at time t=0 the state if this oscillator is given by
    |ψ(0)>=c1|Y0> + c2|Y1> where |Y1> , |Y2> states are the ground state and the first state respectively

    find the normalization condition for |ψ(0)> and the mean value for the energies <H> in terms of C0 and C1, (b)and if we assume <H>= hω calculate c0 and c1

    2. Relevant equations

    3. The attempt at a solutionok i know that |c0|^2 +|c1|^2 =1

    and <ψ|H|ψ>= E0|c0|^2 + E1|c1|^2 where E0=1/2 ωh and E1= 3/2 ωh

    Last edited: May 20, 2013
  2. jcsd
  3. May 20, 2013 #2


    User Avatar
    Science Advisor
    Homework Helper

    Well, keep going. You've got two equations in the two unknowns |c0|^2 and |c1|^2. You won't be able to determine c0 and c1 but you can find their absolute values.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted