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Wave function evaluation

  1. Mar 29, 2012 #1
    1. The problem statement, all variables and given/known data
    This problem is in Schaum's outline of quantum physics. We need to evaluate [tex]|\psi(x)|^2[/tex] for the wave function [tex]\psi(x)=\int_{-\infty}^{\infty}e^{-|k|/k_0}e^{ikx} dk[/tex]


    2. Relevant equations
    [tex]|\psi(x)|^2=\psi(x)\psi(x)^*[/tex]


    3. The attempt at a solution
    I tried to evaluate the integral [tex]\int_{-\infty}^{\infty}dk\int_{-\infty}^{\infty}dk'e^{-(|k|+|k'|)/k_0}e^{i(k-k')x}[/tex]
     
    Last edited: Mar 29, 2012
  2. jcsd
  3. Mar 29, 2012 #2

    vela

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    The integral should be with respect to k, not x. You can evaluate it. Give it a shot.

     
  4. Mar 29, 2012 #3
    yes it should be with respect to k not x. Can you give me same hint. Is it correct trying to evaluate it as I wrote in my attempt at a soluciont? or should I evaluate [tex]\psi(x)[/tex]directly? or me be use the residue technique?
     
    Last edited: Mar 29, 2012
  5. Mar 29, 2012 #4

    vela

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    I'd just integrate it directly. There's no need to do anything fancy here.
     
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