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Product of exponential of operators

  1. Jul 10, 2015 #1
    How does one show that
    eAeB=eA+Be[A,B]/2
    where A,B are operators and [ , ] is the commutator. The QM book I am using states it as a fact without proof, but I would like to see how it is proved. I've muddled around with the series expansion, but can't get farther than a few term by term products which lead nowhere.
     
  2. jcsd
  3. Jul 10, 2015 #2

    micromass

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