Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

I Integration leading to ERFI solutions

  1. Mar 25, 2016 #1
    I am attempting to normalize a wave function and need to integrate ##\int A^2*e^{(\lambda^2x^2)} dx## going from -inf to +inf. I tried to integrate this on Wolfram Alpha and this was the result. Upon integrating with the parameters the solution is as such. How does the erfi get removed? Do I need to be familiar with the Dawson function?

    Thank you for any help!
     
  2. jcsd
  3. Mar 25, 2016 #2
    If you look at the condition for the case when there is no inverse error function (erfi) you'll see that they require
    $$Re(\lambda^2)<0$$

    This means that we can choose ##\lambda=i C## (for simplicity).

    Do you see what happens in that case?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Integration leading to ERFI solutions
Loading...