Normalizing psi in harmonic oscillator

  • #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. Let's say PHI(x,0)=C1phi1 + C2 phi3. Now C1 and C2 are given to me, so I am wondering is this wavefcn. already normalized, or do i have to normalize it despite definite C1 and C2 already being given?
  • #2
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].
  • #3
thank you.

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