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## Main Question or Discussion Point

I've read several times in textbooks that in NR-QM you can measure with exact precision the position of a particle if you don't care at all for the momentum (because the uncertainty of the momentum will be infinite), it always seemed reasonable enough for me but now that I think about it, it should be impossible in principle because the wave function would collapse to a delta function, and the delta function is not in the hilbert space of the wave functions.

Any thoughts?

Any thoughts?