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Composite Quantum Coriolis Forces
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SYSNO ASEP 0571103 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Composite Quantum Coriolis Forces Author(s) Znojil, Miloslav (UJF-V) RID, ORCID, SAI Number of authors 1 Article number 1375 Source Title Mathematics. - : MDPI
Roč. 11, č. 6 (2023)Number of pages 18 s. Publication form Online - E Language eng - English Country CH - Switzerland Keywords quantum mechanics of closed unitary systems ; operators of observables in non-Hermitian representation ; time-dependent physical inner products ; non-stationary non-Hermitian interaction picture ; N alternative triplets of evolution equations ; wrong-sign anharmonic oscillator OECD category Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect) Method of publishing Open access Institutional support UJF-V - RVO:61389005 UT WOS 000960560600001 EID SCOPUS 85151352163 DOI 10.3390/math11061375 Annotation In a consistent quantum theory known as 'non-Hermitian interaction picture' (NIP), the standard quantum Coriolis operator S(t) emerges whenever the observables of a unitary system are given in their quasi-Hermitian and non-stationary rather than 'usual' representations. With S(t) needed, in NIP, in both the Schrodinger-like and Heisenberg-like dynamical evolution equations we show that another, amended and potentially simplified theory can be based on an auxiliary N-term factorization of the Dyson's Hermitization map O(t). The knowledge of this factorization is shown to lead to a multiplet of alternative eligible Coriolis forces S-n(t) with n=0,1, horizontal ellipsis ,N. The related formulae for the measurable predictions constitute a new formalism refered to as 'factorization-based non-Hermitian interaction picture' (FNIP). The conventional NIP formalism (where N=1) becomes complemented by an (N-1)-plet of its innovative 'hybrid' alternatives. Some of the respective ad hoc adaptations of observables may result in an optimal representation of quantum dynamics. Workplace Nuclear Physics Institute Contact Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228 Year of Publishing 2024 Electronic address https://doi.org/10.3390/math11061375
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