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In the statistics of such measurements, we can view, say, x and px as the spread (actually, the standard deviations) in the measurements.

  • Fundamentals Of Physics Extended, 10th Edition by David Halliday, Jearl Walker, and Robert Resnick

the probability of finding it in different places must be confined to a certain region, whose length we call Δx . Outside this region, the probability is zero

  • Feynman lectures vol-3 topic 2.1

So, the first one says that we do have a little bit of probability of finding the particle outside x±Δx region but feynman says we cannot. Who is correct?

Qmechanic
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Shaurya Kad
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1 Answers1

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I think that the second one is more correct. I will try to prove it with a thought experiment.

Consider a nucleus comprising of many neutrons and proton now mass of single proton is less than the mass of entire nucleus so the Δx of proton would be more than nucleus. And similar thing for all the protons and neutron and even for quarks. If we are sure that nucleus is inside x±Δx but we know that there is a probability (tho it's small) that all the neutrons and protons would be outside of nucleus. Hence the 2nd quotes's statement is disproved by contradiction.

Ps- i can be wrong if Δx is also dependent on force surrounding it or binding it to other particle.

Shaurya Kad
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