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Hausdorff formula for anticommutation

  1. Jun 9, 2012 #1
    hello. it's the first time I use this site I hope that I find the answer of my question: does the hausdorff formula for anti commutation have the same formula for commutation?
  2. jcsd
  3. Jun 9, 2012 #2
    I think the sign of the two exponentials must be positive,is it correct?
    exp(A) B exp(A)= B + {A,B} + {A,{A,B}} +.....
  4. Jun 9, 2012 #3


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    If A and B are anti-commuting quantities, then I presume you also mean ##A^2=0 =B^2## ?

    If so, then ##\exp(A) = 1 + A## (since higher order powers vanish). That simplifies all formulas considerably...
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