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Permutation operator

  1. Nov 16, 2007 #1

    cks

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

    I can't really imagine how this was approached.

    Let [tex] P_{\alpha0} [/tex] fixed

    [tex] P_{a0}A=\frac{1}{N!}\sum_{\alpha}\epsilon_{\alpha}P_{\alpha0}P_{\alpha}=\frac{1}{N!}\epsilon_{\alpha0}\sum_{\alpha}\epsilon_{\beta}P_{\beta}=\epsilon_{\alpha0}A

    [/tex]



    2. Relevant equations



    3. The attempt at a solution

    I can understand that [tex] P_{\alpha0}P_{\alpha} = P_{\beta} [/tex] is a new permutation operator.

    [tex] P_{a0}A=\frac{1}{N!}\sum_{\alpha}\epsilon_{\alpha}P_{\alpha0}P_{\alpha}=\frac{1}{N!}\sum_{\alpha}\epsilon_{\alpha}P_{\beta} [/tex]
     
    Last edited: Nov 16, 2007
  2. jcsd
  3. Nov 16, 2007 #2

    Hurkyl

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    Staff Emeritus
    Science Advisor
    Gold Member

    What do all of your symbols mean?
     
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