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Note on a Product Formula Related to Quantum Zeno Dynamics
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SYSNO ASEP 0540706 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Note on a Product Formula Related to Quantum Zeno Dynamics Author(s) Exner, Pavel (UJF-V) RID, ORCID, SAI
Ichinose, T. (JP)Number of authors 2 Source Title Annales Henri Poincare. - : Springer - ISSN 1424-0637
Roč. 22, MAY (2021), s. 1669-1697Number of pages 29 s. Publication form Print - P Language eng - English Country CH - Switzerland Keywords Hilbert space ; operator topology Subject RIV BE - Theoretical Physics OECD category Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect) R&D Projects GA17-01706S GA ČR - Czech Science Foundation (CSF) Method of publishing Limited access Institutional support UJF-V - RVO:61389005 UT WOS 000613053800002 EID SCOPUS 85099909173 DOI 10.1007/s00023-020-01014-z Annotation Given a nonnegative self-adjoint operator H acting on a separable Hilbert space and an orthogonal projection P such that H-P := ((HP)-P-1/2)((HP)-P-1/2) is densely defined, we prove that lim(n ->infinity)(Pe(-itH/n)P)(n) = e(-itHP) P holds in the strong operator topology. We also derive modifications of this product formula and its extension to the situation when P is replaced by a strongly continuous projection-valued function satisfying P(0) = P. Workplace Nuclear Physics Institute Contact Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228 Year of Publishing 2022 Electronic address https://doi.org/10.1007/s00023-020-01014-z
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