About: A remark on natural quantum Lagrangians and natural generalized Schroedinger operators in Galilei quantum mechanics

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Description	The natural quantum Lagrangians which appear in Galilei general relativistic quantum mechanics are classified by using methods of natural operators. It is proved that all natural quantum Lagrangians are linear combinations (with real coefficients) of the canonical quantum Lagrangian and the product of the scalar curvature of a spacetime vertical connection and the Hermitian product. The classification of all natural generalized Schroedinger operators is given and it is proved that all natural generalized Schroedinger operators can be induced from natural quantum Lagrangians. The natural quantum Lagrangians which appear in Galilei general relativistic quantum mechanics are classified by using methods of natural operators. It is proved that all natural quantum Lagrangians are linear combinations (with real coefficients) of the canonical quantum Lagrangian and the product of the scalar curvature of a spacetime vertical connection and the Hermitian product. The classification of all natural generalized Schroedinger operators is given and it is proved that all natural generalized Schroedinger operators can be induced from natural quantum Lagrangians. (en)
Title	A remark on natural quantum Lagrangians and natural generalized Schroedinger operators in Galilei quantum mechanics A remark on natural quantum Lagrangians and natural generalized Schroedinger operators in Galilei quantum mechanics (en)
skos:prefLabel	A remark on natural quantum Lagrangians and natural generalized Schroedinger operators in Galilei quantum mechanics A remark on natural quantum Lagrangians and natural generalized Schroedinger operators in Galilei quantum mechanics (en)
skos:notation	RIV/00216224:14310/01:00004183!RIV/2002/MSM/143102/N
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http://linked.open...vai/riv/dodaniDat	2002
http://linked.open...aciTvurceVysledku	Janyška, Josef
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Masarykova univerzita / Přírodovědecká fakulta
http://linked.open...dnocenehoVysledku	672298
http://linked.open...ai/riv/idVysledku	RIV/00216224:14310/01:00004183
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Natural operator, quantum bundle, quantum connection, quantum Lagrangian, Schroedinger operator (en)
http://linked.open.../riv/klicoveSlovo	Natural operator Schroedinger operator quantum Lagrangian quantum connection quantum bundle
http://linked.open...odStatuVydavatele	IT - Italská republika
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http://linked.open...vavai/riv/projekt	Differential geometry of higher order
http://linked.open...UplatneniVysledku	2001
http://linked.open...v/svazekPeriodika	66
http://linked.open...iv/tvurceVysledku	Janyška, Josef
http://linked.open...n/vavai/riv/zamer	http://linked.opendata.cz/resource/domain/vavai/zamer/MSM%20143100009
issn	0009-725X
number of pages	12 (xsd:int)
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