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
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DOI - Digital Object Identifier
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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
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
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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
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e-ISSN
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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
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