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Homework Help: Near Normalization calculation for given wavefunction

  1. Sep 11, 2007 #1
    Near "Normalization" calculation for given wavefunction

    1. The problem statement, all variables and given/known data

    A wave function is given by Y(E) = CEexp(-E/kt)

    1. Find C so that Y(E) becomes Y0 where Y0 is a constant.

    2. Calculate the mean energy with respect to Y(E).

    3. Find Y(t) as a function of wavelength and calculate the mean wavelength.

    3. The attempt at a solution

    1. Ok, I'm a bit conufsed by this "normalization" concept as it applies here. I understand normalization requiring Y*Y = 1 etc. but that would require the outcome to be 1. Here, the outcome is a constant. I could just say

    [tex]\int_{-\infty}^{\infty}Y\left(t\right)Y^*\left(t\right)dt=1[/tex]

    but the "Y0" part is throwing me off.

    2. Shouldn't it just be

    <E> = [tex]\int_{-\infty}^{\infty}Y\left(t\right)EY^*\left(t\right)dt [/tex]

    where the exponentialterms would cancel leaving E and other constants? I would presumably calculate this AFTER having solved for C above.

    3. I will get to this a bit later and post my attempt here a little later.
     
    Last edited: Sep 11, 2007
  2. jcsd
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