Grassmann number and anti-commuting c-number?

[kof9595995]

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.

 

[dextercioby]

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.

 

[kof9595995]

Ok thanks, that clarifies it.