Mathematics of the Quantum Zeno Effect

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dc.creatorSchmidt, Andreas U.
dc.date2003-07-21
dc.date2004-10-06
dc.date.accessioned2026-07-07T04:30:23Z
dc.date.available2026-07-07T04:30:23Z
dc.descriptionWe present an overview of the mathematics underlying the quantum Zeno effect. Classical, functional analytic results are put into perspective and compared with more recent ones. This yields some new insights into mathematical preconditions entailing the Zeno paradox, in particular a simplified proof of Misra's and Sudarshan's theorem. We empahsise the complex-analytic structures associated to the issue of existence of the Zeno dynamics. On grounds of the assembled material, we reason about possible future mathematical developments pertaining to the Zeno paradox and its counterpart, the anti-Zeno paradox, both of which seem to be close to complete characterisations.
dc.description32 pages, 1 figure, AMSLaTeX. In: Mathematical Physics Research at the Leading Edge, Charles V. Benton ed. Nova Science Publishers, Hauppauge NY, pp. 111-141, ISBN 1-59033-905-3, 2003; revision contains corrections from the published corrigenda to Reference [64]
dc.identifierhttps://arxiv.org/abs/math-ph/0307044
dc.identifierhttp://arxiv.org/abs/math-ph/0307044
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57451
dc.subjectMathematical Physics
dc.subjectFunctional Analysis
dc.subjectOperator Algebras
dc.subjectQuantum Physics
dc.subject46L60, 47D03, 81P15, 81R15, 82B10
dc.titleMathematics of the Quantum Zeno Effect
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