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Jan 28, 2022 at 1:43 history edited Níckolas Alves CC BY-SA 4.0
Fixed typo
Feb 5, 2016 at 11:43 vote accept user32109
Feb 3, 2016 at 15:40 comment added Andrea @ACuriousMind You answer is detailed and very informative. However, it seems to me to miss OP's question's spirit, which is about the HUP understood colloquially as the product of the uncertainty about the position and momentum of a particle is always larger than some non-zero bound. To better you answer you could perhaps consider adding a less mathematical punch-line.
Feb 3, 2016 at 14:18 comment added ACuriousMind @AndreaDiBiagio: It is the last equation in my post. For plane waves, the r.h.s. reads zero, so $\sigma_p = 0$ is not a contradiction. For functions in $D([x,p])$, it is the usual $\sigma_p\sigma_x\geq\hbar/2$. I'm not sure what you think there needs to be recovered.
Feb 3, 2016 at 8:53 comment added Andrea But how do you recover Heisenberg's uncertainty principle then?
Feb 2, 2016 at 15:42 history edited ACuriousMind CC BY-SA 3.0
removed discussion of a different operator
Feb 2, 2016 at 14:57 history answered ACuriousMind CC BY-SA 3.0