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6
votes
Accepted
Grassmann's variables under integration
I am not sure that $d(\eta^2)$ is defined at all. But if it is, then, in my opinion, you should write it in this way
$$
d(\eta^2) = d(\eta\eta) = d\eta\ \eta + \eta\ d\eta
$$
So you get not $\eta\ d\e …
2
votes
Accepted
Show: $\langle n \vert \psi \rangle \langle \psi \vert n \rangle = \langle -\psi \vert n \ra...
I don't see a mistake in your consideration. Let's stop before the last step in your equalities and look at
$$
\langle n|\psi\rangle\langle\psi|n\rangle = ((-)^n)^{n-1} \langle-\psi|n\rangle\langle n| …