Mutual Compatibility/Incompatibility of Quasi-Hermitian Quantum Observables

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F25%3A00635941" target="_blank" >RIV/61389005:_____/25:00635941 - isvavai.cz</a>
Alternative codes found
RIV/62690094:18470/25:50022430
Result on the web
<a href="https://www.mdpi.com/2073-8994/17/5/708" target="_blank" >https://www.mdpi.com/2073-8994/17/5/708</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3390/sym17050708" target="_blank" >10.3390/sym17050708</a>

Result language
angličtina
Original language name
Mutual Compatibility/Incompatibility of Quasi-Hermitian Quantum Observables
Original language description
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,...,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.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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