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Space Translation

  1. Aug 29, 2013 #1
    Hi,

    In Sidney Coleman's Lectures he talked about space translations such that

    gif.latex?e%5E%7B%5Cimath%20p.a%7D%20%5Crho%20%28x%29%20e%5E%7B-%5Cimath%20p.gif

    but when I expanded the exponentials gif.latex?e%5E%7B%5Cimath%20p.gif and gif.latex?e%5E%7B-%5Cimath%20p.gif and used the commutation relation of p and x, I got ρ(x+a) instead of ρ(x-a)

    Does anyone see where I may of went wrong?
     
    Last edited: Aug 29, 2013
  2. jcsd
  3. Aug 29, 2013 #2
    Which version of "Lectures" you have in mind? In the online version at

    http://www.physics.emory.edu/students/tbrunson/PDF/QFT_Lecture_1.pdf [Broken]

    there is a plus sign (bottom pf p. 16).
     
    Last edited by a moderator: May 6, 2017
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