[a, a[itex]^{+(n)}[/itex]] = na[itex]^{+(n-1)}[/itex](adsbygoogle = window.adsbygoogle || []).push({});

1) What's the name of this relation if it has any?

2) I tried to prove this by induction, I started by saying that for n=1, this holds since [a, a[itex]^{+}[/itex]] = 1 (as we all know and as we can all prove)

then I assumed it true for (n-1), but I didn't go too far afterwards. Can someone give me a hint concerning its proof.

Thanks!!!

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# Name of this relation, and struggle proving it.

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