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Problem of the coexistence of several non-Hermitian observables in PT -symmetric quantum mechanics
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SYSNO ASEP 0475655 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Problem of the coexistence of several non-Hermitian observables in PT -symmetric quantum mechanics Author(s) Znojil, Miloslav (UJF-V) RID, ORCID, SAI
Semorádová, Iveta (UJF-V) ORCID, SAI
Růžička, František (UJF-V) ORCID
Moulla, H. (DZ)
Leghrib, I. (DZ)Number of authors 5 Article number 042122 Source Title Physical Review A. - : American Physical Society - ISSN 2469-9926
Roč. 95, č. 4 (2017)Number of pages 8 s. Publication form Print - P Language eng - English Country US - United States Keywords operators ; Hilbert space ; non-Hermitian 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 GA16-22945S GA ČR - Czech Science Foundation (CSF) Institutional support UJF-V - RVO:61389005 UT WOS 000399783900002 EID SCOPUS 85017583518 DOI 10.1103/PhysRevA.95.042122 Annotation During recent developments in quantum theory it has been clarified that observable quantities (such as energy and position) may be represented by operators Lambda (with real spectra) that are manifestly non-Hermitian in a preselected friendly Hilbert space H-(F). The consistency of these models is known to require an upgrade of the inner product, i.e., mathematically speaking, a transition H-(F)-> H-(S) to another, standard, Hilbert space. We prove that whenever we are given more than one candidate for an observable ( i.e., say, two operators Lambda(0) and Lambda(1)) in advance, such an upgrade need not exist in general. Workplace Nuclear Physics Institute Contact Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228 Year of Publishing 2018
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