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Homework Help: Integral of plane wave equation

  1. Oct 8, 2008 #1
    What is the integral for the following equation

    (e[tex]^{}ikx[/tex])/x
     
  2. jcsd
  3. Oct 9, 2008 #2

    CompuChip

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    Please formulate carefully. Integral over k or x? Between what limits?
     
  4. Oct 9, 2008 #3
    k is a constant. x a variable.

    I figured out the answer. It's the imaginary argument of the exponential integral.
     
  5. Oct 9, 2008 #4

    CompuChip

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    Glad you figured it out, I'm still guessing at what you mean :smile:
    For I don't see an integral and if I add one, it doesn't evaluate to k x.
     
  6. Oct 9, 2008 #5
    Sorry Chip, but instead of writing the sign for integral I simply stated that I was looking for the integral. My assumption was that you'd understand what that implied, i.e.,

    [tex]\int[/tex](e[tex]^{}ikx[/tex])/x dx

    where k is a constant.

    The answer is can be found at the following:

    http://en.wikipedia.org/wiki/Exponential_integral

    under the subheading "Exponential integral of imaginary argument"

    Best :cool:
     
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