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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

    Dick

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    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.
     
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