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Uncertainty Principle

5.0
Δx × Δp =
Minimum (ℏ/2) = 0.50
Δx · Δp ≥ ℏ/2

Heisenberg Uncertainty Principle

You cannot simultaneously know both the exact position and exact momentum of a particle. The more precisely you know one, the less precisely you can know the other.

Try this: Use the slider to narrow the position uncertainty (make the wave packet narrower). Watch how the momentum uncertainty automatically increases (the wave packet spreads in momentum space)! Their product can never be smaller than ℏ/2.