Mutual Compatibility/Incompatibility of Quasi-Hermitian Quantum Observables

Znojil, Miloslav

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dc.rights.license	CC BY	eng
dc.contributor.author	Znojil, Miloslav	cze
dc.date.accessioned	2025-12-05T15:42:40Z
dc.date.available	2025-12-05T15:42:40Z
dc.date.issued	2025	eng
dc.identifier.issn	2073-8994	eng
dc.identifier.uri	http://hdl.handle.net/20.500.12603/2394
dc.description.abstract	In the framework of quasi-Hermitian quantum mechanics, the eligible operators of observables may be non-Hermitian, Aj not equal Aj dagger, j=1,2,& mldr;,K. In principle, the standard probabilistic interpretation of the theory can be re-established via a reconstruction of physical inner-product metric Theta not equal I, guaranteeing the quasi-Hermiticity Aj dagger Theta=Theta Aj. The task is easy at K=1 because there are many eligible metrics Theta=Theta(A1). In our paper, the next case with K=2 is analyzed. The criteria of the existence of a shared metric, Theta=Theta(A1,A2), are presented and discussed.	eng
dc.format	p. "Article Number: 708"	eng
dc.language.iso	eng	eng
dc.publisher	MDPI-Molecular diversity preservation international	eng
dc.relation.ispartof	Symmetry-Basel, volume 17, issue: 5	eng
dc.subject	quantum mechanics of unitary systems	eng
dc.subject	quasi-Hermitian representations of observables	eng
dc.subject	constructions of physical inner-product metrics	eng
dc.subject	the criteria of existence of the shared metric for more observables	eng
dc.title	Mutual Compatibility/Incompatibility of Quasi-Hermitian Quantum Observables	eng
dc.type	article	eng
dc.identifier.obd	43882040	eng
dc.identifier.wos	001496924300001	eng
dc.identifier.doi	10.3390/sym17050708	eng
dc.publicationstatus	postprint	eng
dc.peerreviewed	yes	eng
dc.source.url	https://www.mdpi.com/2073-8994/17/5/708	cze
dc.relation.publisherversion	https://www.mdpi.com/2073-8994/17/5/708	eng
dc.rights.access	Open Access	eng