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@inproceedings{404656,
author = {Janyška, Josef and Modugno, Marco},
address = {New Jersey - London - Singapore},
booktitle = {Proceedings of the Second International Symposium on "Quantum Theory and Symmetries", eds. E. Kapuscik, A. Horzela},
keywords = {Galilei spacetime; quantum mechanics; covariant operators},
language = {eng},
location = {New Jersey - London - Singapore},
isbn = {981-02-4887-3},
pages = {404-411},
publisher = {World Scientific},
title = {Uniqueness results by covariance in covariant quantum mechanics},
year = {2002}
}
TY - JOUR
ID - 404656
AU - Janyška, Josef - Modugno, Marco
PY - 2002
TI - Uniqueness results by covariance in covariant quantum mechanics
PB - World Scientific
CY - New Jersey - London - Singapore
SN - 9810248873
KW - Galilei spacetime
KW - quantum mechanics
KW - covariant operators
N2 - 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.
ER -
JANYŠKA, Josef and Marco MODUGNO. Uniqueness results by covariance in covariant quantum mechanics. In \textit{Proceedings of the Second International Symposium on ''Quantum Theory and Symmetries'', eds. E. Kapuscik, A. Horzela}. New Jersey - London - Singapore: World Scientific, 2002, p.~404-411. ISBN~981-02-4887-3.
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