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maverick280857

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**Query about Grassmann Variables a + b\eta**

Hi,

What does

[tex]a + b\eta[/tex]

where a and b are c-numbers and [itex]\eta[/itex] is a Grassmann number, really mean?

At first sight, this does not seem like a valid thing to do, as this can't be interpreted as a regular composition and sum in Grassmann space -- there is no concept of an identity which could be 'multiplied' with a in the first term (and so the first term is a c-number, whereas the second is a scalar multiple of a Grassmann number).

And yet we do this all the time!

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