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@inproceedings{705233, author = {Janyška, Josef and Modugno, Marco}, address = {Čína}, booktitle = {DIFFERENTIAL GEOMETRY AND PHYSICS}, keywords = {Hermitian vector fields; quantum bundle; special phase functions; Galilei spacetime; Lorentz spacetime}, language = {eng}, location = {Čína}, isbn = {978-981-270-377-4}, pages = {97-106}, publisher = {World Scientific}, title = {Quantum operators and Hermitian vector fields}, url = {http://www.worldscibooks.com/mathematics/6305.html}, year = {2006} }
TY - JOUR ID - 705233 AU - Janyška, Josef - Modugno, Marco PY - 2006 TI - Quantum operators and Hermitian vector fields PB - World Scientific CY - Čína SN - 9789812703774 KW - Hermitian vector fields KW - quantum bundle KW - special phase functions KW - Galilei spacetime KW - Lorentz spacetime UR - http://www.worldscibooks.com/mathematics/6305.html N2 - We classify the Lie algebra of Hermitian vector fields of a Hermitian line bundle, by means of a generic Hermitian connection. Then, we specify the base space of the above Hermitian bundle by considering a Galilei, or an Einstein spacetime. In these cases, the geometric structure of the base space yields a distinguished choice for the Hermitian connection. Then, we can prove that the Lie algebra of Hermitian vector fields turns out to be naturally isomorphic to the Lie algebra of special phase functions. ER -
JANYŠKA, Josef a Marco MODUGNO. Quantum operators and Hermitian vector fields. Online. In \textit{DIFFERENTIAL GEOMETRY AND PHYSICS}. Čína: World Scientific, 2006. s.~97-106. ISBN~978-981-270-377-4. [citováno 2024-04-24]
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