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Grassmann number and anti-commuting c-number?

  1. Sep 28, 2011 #1
    People call grassmann numbers anti-commuting c-numbers, but from what I see grassmann numbers look like operators in many aspects, so what is the feature that distinguishes a grassmann number and an operator.
  2. jcsd
  3. Sep 28, 2011 #2


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    I don't call them Grassmann numbers, but Grassmann variables, elements of a Grassmann algebra. An operator is a mapping between 2 sets, so an operator can be a Grassmann variable, if one structures the set of all operators as a Grassmann algebra.
  4. Sep 29, 2011 #3
    Ok thanks, that clarifies it.
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