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Unformatted text preview: of both operators simultaneously. e.g. can find wavefunctions ψ n such that A ˆ = a and B ˆ = b n n n n n n • This means that we can know the exact values of both observables A and B simultaneously (no uncertainty limitation). 2) For operators that do not commute ⎡ ⎣ A ˆ , B ˆ ⎤ ⎦ ≠ 0 • it is not possible to find a set of wavefunctions that are simultaneous eigenfunctions of both operators. • This means that we cannot know the exact values of both observables and simultaneously ⇒ uncertainty ! e.g. ⎡ ⎣ x ˆ, p ˆ ⎤ ⎦ = i ! ≠ 0 ⇒ Δ x Δ p ≥ ! 2...
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 Spring '08
 greenwood
 Calculus, dx, Px, exact values

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