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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 and Marco MODUGNO. Quantum operators and Hermitian vector fields. In \textit{DIFFERENTIAL GEOMETRY AND PHYSICS}. Čína: World Scientific, 2006, p.~97-106. ISBN~978-981-270-377-4.
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