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Spectral Resolutions and Quantum Observables

The result's identifiers

  • 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>

Alternative languages

  • 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&apos; 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

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10303 - Particles and field physics

Result continuities

  • Project

  • Continuities

    O - Projekt operacniho programu

Others

  • Publication year

    2020

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS

  • ISSN

    0020-7748

  • e-ISSN

  • Volume of the periodical

    59

  • Issue of the periodical within the volume

    8

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    22

  • Pages from-to

    2362-2383

  • UT code for WoS article

    000541046900002

  • EID of the result in the Scopus database

    2-s2.0-85086676284