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Uniqueness results by covariance in covariant quantum mechanics

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F02%3A00006273" target="_blank" >RIV/00216224:14310/02:00006273 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Uniqueness results by covariance in covariant quantum mechanics

  • Original language description

    We show that the only requirement of general covariance essentially determines the quantum operators associated with a classical quantisable function and the Schr"odinger operator. Our framework is the covariant quantum mechanics of a scalar quantum particle in a curved spacetime, which is fibred over absolute time and equipped with given spacelike metric, gravitational field and electromagnetic field. In particular, in the flat case, we recover the standard operators.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GA201%2F99%2F0296" target="_blank" >GA201/99/0296: Differential geometry of higher order</a><br>

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2002

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Proceedings of the Second International Symposium on "Quantum Theory and Symmetries", eds. E. Kapuscik, A. Horzela

  • ISBN

    981-02-4887-3

  • ISSN

  • e-ISSN

  • Number of pages

    8

  • Pages from-to

    404

  • Publisher name

    World Scientific

  • Place of publication

    New Jersey - London - Singapore

  • Event location

    Krakow (Polsko), July 18 - 21, 2001

  • Event date

    Jan 1, 2001

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article