Spectral Resolutions and Quantum Observables

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F20%3A73603662" target="_blank" >RIV/61989592:15310/20:73603662 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007%2Fs10773-020-04507-z" target="_blank" >https://link.springer.com/article/10.1007%2Fs10773-020-04507-z</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10773-020-04507-z" target="_blank" >10.1007/s10773-020-04507-z</a>

Result language
angličtina
Original language name
Spectral Resolutions and Quantum Observables
Original language description
An n -dimensional quantum observable in quantum structures is a kind of a ahomomorphism defined on the Borel a -algebra of IV' with values in a monotone a -complete effect algebra or in a a -complete MV-algebra. It defines an n -dimensional spectral resolution that is a mapping from into the quantum structure which is a monotone, left-continuous mapping with non-negative increments and which is going to 0 if one variable goes to Do and it goes to 1 if all variables go to cx). The basic question is to show when an n -dimensional spectral resolution entails an n -dimensional quantum observable. We show cases when this is possible and we apply the result to existence of three different kinds of joint observables.
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
10303 - Particles and field physics

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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