Quantum Observables and Effect Algebras

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F18%3A73583866" target="_blank" >RIV/61989592:15310/18:73583866 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007%2Fs10773-017-3594-1" target="_blank" >https://link.springer.com/article/10.1007%2Fs10773-017-3594-1</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10773-017-3594-1" target="_blank" >10.1007/s10773-017-3594-1</a>

Result language
angličtina
Original language name
Quantum Observables and Effect Algebras
Original language description
We study observables on monotone σ-complete effect algebras. We find conditions when a spectral resolution implies existence of the corresponding observable. We characterize sharp observables of a monotone σ-complete homogeneous effect algebra using its orthoalgebraic skeleton. In addition, we study compatibility in orthoalgebras and we show that every orthoalgebra satisfying RIP is an orthomodular poset.
Czech name
—
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
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA15-15286S" target="_blank" >GA15-15286S: Algebraic, many-valued and quantum structures for uncertainty modelling</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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