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Homework Help: Harmonic Oscillator

  1. Mar 26, 2007 #1
    Hello,

    A harmonic oscillator is in the initial state:
    Psi(x, 0) = Phi_n (x)
    where Phi_n(x) is the nth solution of the time-independent Schr¨odinger equation.
    What is Psi(x, t)?

    Any clue?

    Thanks
     
  2. jcsd
  3. Mar 26, 2007 #2

    quasar987

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    Psi(x, t) is the solution of the time dependant Schrödinger equation (TDSE). The TDSE is a separable partial differential equation. More precisely, the solution to the TDSE is the product of the TISE and of [itex]\exp(iEt/\hbar)[/tex]:

    [tex]\Psi(x,t)=\psi(x)e^{iEt/\hbar}[/tex]
     
  4. Mar 26, 2007 #3
    Thanks alot :):)
     
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