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@inproceedings{1443516,
author = {Janyška, Josef and Modugno, Marco and Saller, Dirk},
address = {Německo},
booktitle = {In book: Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics, Volume 2},
doi = {http://dx.doi.org/10.1007/978-981-13-2179-5_25},
editor = {Vladimír Dobrev},
keywords = {Covariant classical mechanics; Covariant quantum mechanics; Quantum symmetries},
howpublished = {tištěná verze "print"},
language = {eng},
location = {Německo},
pages = {319-336},
publisher = {Springer-Verlag},
title = {Infinitesimal Symmetries in Covariant Quantum Mechanics},
url = {https://link.springer.com/chapter/10.1007/978-981-13-2179-5_25},
year = {2018}
}
TY - JOUR
ID - 1443516
AU - Janyška, Josef - Modugno, Marco - Saller, Dirk
PY - 2018
TI - Infinitesimal Symmetries in Covariant Quantum Mechanics
PB - Springer-Verlag
CY - Německo
KW - Covariant classical mechanics
KW - Covariant quantum mechanics
KW - Quantum symmetries
UR - https://link.springer.com/chapter/10.1007/978-981-13-2179-5_25
L2 - https://link.springer.com/chapter/10.1007/978-981-13-2179-5_25
N2 - We discuss the Lie algebras of infinitesimal symmetries of the main covariant geometric objects of covariant quantum mechanics: the time form, the hermitian metric, the upper quantum connection, the quantum lagrangian. Indeed, these infinitesimal symmetries are generated, in a covariant way, by the Lie algebra of time preserving conserved special phase functions. Actually, this Lie algebra of special phase functions generates also the Lie algebra of infinitesimal symmetries of the main classical objects: the time form and the cosymplectic 2-form. A natural output of the classification of the quantum symmetries is a covariant approach to quantum operators and to quantum currents associated with special phase functions.
ER -
JANYŠKA, Josef, Marco MODUGNO and Dirk SALLER. Infinitesimal Symmetries in Covariant Quantum Mechanics. In Vladimír Dobrev. \textit{In book: Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics, Volume 2}. Německo: Springer-Verlag, 2018, p.~319-336. ISSN~2194-1009. Available from: https://dx.doi.org/10.1007/978-981-13-2179-5\_{}25.
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