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What Exactly Are Fuzzy And Sharp Observables? |
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Answer» A sharp observable is something that you get the same VALUE for every tine you measure it. It has no uncertainty. A fuzzy observable is some quantity for which you will get different results when you MAKE REPEATED MEASUREMENTS. For the stationary states of potential wells the energy of the state is a sharp observable, but the position X and the momentum p are fuzzy. Note: this might seem contradictory because (p) = 0, but Δp 6≠ 0. A sharp observable is something that you get the same value for every tine you measure it. It has no uncertainty. A fuzzy observable is some quantity for which you will get different results when you make repeated measurements. For the stationary states of potential wells the energy of the state is a sharp observable, but the position x and the momentum p are fuzzy. Note: this might seem contradictory because (p) = 0, but Δp 6≠ 0. |
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