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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 a 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, s.~404-411. ISBN~981-02-4887-3.
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