@ecterrab 

If you open the document, you will ser that is only a part of biggest paper and have the page 267 that i said to you. I just tell the expression that i want to fins and if you see in the paper, you will see it too.

But OK, i think this discussion is just a dead end. 

Thanks anyway

@ecterrab 

Hi, sorry for the delay in the response, i had some personal problems this days.

I found a reference that shows the rules of commutations are correct.Hutchings.pdf

plz see page 267. This paper shows the result that i want to find too.

Thanks again for the attention

@ecterrab 

I did the update in the question, like you said. 

The right hand side of the equation In the beguining (red line) is the answer that is well know in the literature.

I think maple doesn't did all the simplifications needed, but i don't know what is wrong.

Thanks, if you need more information, let me know

@ecterrab 

Hi, thanks for the answer

In my case, psigma will not help, because my J[n] obey the same commutation rules of pauli matrixes, but not the same for anticommutation.