The Heisenberg Uncertainty Principle
(Δx Δp ≳ ℏ)
• Implies that there really is no such thing as 'a particle is at 𝑥 with momentum 𝑝'
• That is, the more narrow the 𝑥-PDF |Ψ(x)|², the more broad the 𝑝-PDF |Φ(p)|² will become & vice versa (
)pic.twitter.com/6AUqy3Mpt1
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Replying to @InertialObservr
I disagree with the first bullet point. If there was no such a thing, how could we even prove the second point? What I mean is that one has to measure both the position and momentum of a particle many times if one aspires to fill a histogram that may resamble a PDF.
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Replying to @Draquarkula @InertialObservr
You can't measure them with exact certainty simultaneously.
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Replying to @Billistician @InertialObservr
This is true for any measurement and is independent of QM
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Replying to @Draquarkula @Billistician
It’s about arbitrary precision, which QM puts a limit on
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Replying to @InertialObservr @Billistician
Does the theory puts a constraint on nature? Because I thought science worked they other way around
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Experiment tells us that this relationship between non commuting observables is true..
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