# QM before Xmas: unbounded operators

07 Dec 2022Can you show that the relation \(\left[x^n,p\right] = \mathrm{i}\hbar nx^{n-1}\) holds for the position and momentum operators?

Can you show that the relation \(\left[x^n,p\right] = \mathrm{i}\hbar nx^{n-1}\) holds for the position and momentum operators?