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Normalizing psi in harmonic oscillator

  1. May 17, 2009 #1
    My question is pretty easy (i think). I have a wavefcn PSI defined at t=0. The PSI is a mix of several eigenstates. Lets say PHI(x,0)=C1phi1 + C2 phi3. Now C1 and C2 are given to me, so im wondering is this wavefcn. already normalized, or do i have to normalize it despite definite C1 and C2 already being given?
     
  2. jcsd
  3. May 17, 2009 #2

    Cyosis

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    Since phi1 and phi2 are eigenstates they should be normalized already. I suggest you take the integral with C1 and C2 plugged in and see if it yields one. In other words show that [itex]|C_1|^2+|C_2|^2=1[/itex].
     
  4. May 17, 2009 #3
    thank you.
     
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