A Quantum Anti-Zeno Paradox

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dc.creatorBalachandran, A. P.
dc.creatorRoy, S. M.
dc.date1999-09-17
dc.date.accessioned2026-07-07T12:33:31Z
dc.date.available2026-07-07T12:33:31Z
dc.descriptionWe establish an exact differential equation for the operator describing time-dependent measurements continuous in time and obtain a series solution. Suppose the projection operator $E(t) = U(t) E U^\dagger(t)$ is measured continuously from t = 0 to T, where E is a projector leaving the initial state unchanged and U(t) a unitary operator obeying U(0) = 1 and some smoothness conditions in t. We prove that the probability of always finding E(t) = 1 from t = 0 to T is unity. If $U(t) \neq 1$, the watched kettle is sure to `boil'.
dc.description10 pages,latex
dc.identifierhttps://arxiv.org/abs/quant-ph/9909056
dc.identifierhttp://arxiv.org/abs/quant-ph/9909056
dc.identifierPhys.Rev.Lett.84:4019-4022,2000
dc.identifierdoi:10.1103/PhysRevLett.84.4019
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217149
dc.subjectQuantum Physics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleA Quantum Anti-Zeno Paradox
dc.typetext

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