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  • 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.
  • 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. (en)
Title
  • Quantum operators and Hermitian vector fields
  • Quantum operators and Hermitian vector fields (en)
skos:prefLabel
  • Quantum operators and Hermitian vector fields
  • Quantum operators and Hermitian vector fields (en)
skos:notation
  • RIV/00216224:14310/06:00016134!RIV10-MSM-14310___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/05/0523), Z(MSM0021622409)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
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http://linked.open...dnocenehoVysledku
  • 496221
http://linked.open...ai/riv/idVysledku
  • RIV/00216224:14310/06:00016134
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Hermitian vector fields; quantum bundle; special phase functions; Galilei spacetime; Lorentz spacetime (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [87E3300403C7]
http://linked.open...v/mistoKonaniAkce
  • Tianjin
http://linked.open...i/riv/mistoVydani
  • Čína
http://linked.open...i/riv/nazevZdroje
  • DIFFERENTIAL GEOMETRY AND PHYSICS
http://linked.open...in/vavai/riv/obor
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http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
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  • Janyška, Josef
  • Modugno, Marco
http://linked.open...vavai/riv/typAkce
http://linked.open...ain/vavai/riv/wos
  • 000245301500020
http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
number of pages
http://purl.org/ne...btex#hasPublisher
  • World Scientific
https://schema.org/isbn
  • 978-981-270-377-4
http://localhost/t...ganizacniJednotka
  • 14310
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