Question
A combined form of this quantity equals one-half for phase space quadratures. States with a value for this quantity below that of the ground state have elliptical phase space distributions that appear “squeezed.” A bound on a combined form of this quantity equals one-half times the norm of the expectation value of a (*) commutator of two operators. This quantity for an operator equals the square root of the difference between its expectation value squared and the square of its expectation value. Because the product of this quantity for x and p is bounded below by h-bar over two, one can never simultaneously know the position and momentum of a particle. For 10 points, name this quantity described in a principle derived by Heisenberg. ■END■
ANSWER: uncertainty [accept standard deviation or variance; accept answers describing a lower bound on a product of two uncertainties or a lower bound on uncertainty; accept standard deviation or variance in place of “uncertainty” in relation to lower bounds; prompt on sigma or sigma-squared] (The lead-in describes the lower bound in the generalized uncertainty principle for a pair of phase space quadratures.)
<Forrest Weintraub, Science - Physics> ~28069~ <Editor: David Bass>
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Summary
Tournament | Edition | Exact Match? | TUH | Conv. % | Power % | Neg % | Average Buzz |
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2024 PACE NSC | 06/08/2024 | Y | 32 | 100% | 0% | 0% | 106.69 |