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Statements

Subject Item
n2:RIV%2F00216224%3A14310%2F01%3A00004183%21RIV%2F2002%2FMSM%2F143102%2FN
rdf:type
skos:Concept n16:Vysledek
dcterms: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.
dcterms: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
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
skos:notation
RIV/00216224:14310/01:00004183!RIV/2002/MSM/143102/N
n4:strany
117
n4:aktivita
n15:P n15:Z
n4:aktivity
P(GA201/99/0296), Z(MSM 143100009)
n4:cisloPeriodika
2
n4:dodaniDat
n8:2002
n4:domaciTvurceVysledku
n19:5886856
n4:druhVysledku
n11:J
n4:duvernostUdaju
n9:S
n4:entitaPredkladatele
n12:predkladatel
n4:idSjednocenehoVysledku
672298
n4:idVysledku
RIV/00216224:14310/01:00004183
n4:jazykVysledku
n18:eng
n4:klicovaSlova
Natural operator, quantum bundle, quantum connection, quantum Lagrangian, Schroedinger operator
n4:klicoveSlovo
n5:quantum%20bundle n5:Schroedinger%20operator n5:quantum%20Lagrangian n5:quantum%20connection n5:Natural%20operator
n4:kodStatuVydavatele
IT - Italská republika
n4:kontrolniKodProRIV
[3DDBD256C469]
n4:nazevZdroje
Supplemento ai Rendiconti del Circolo Matematico di Palermo,Serie II
n4:obor
n14:BA
n4:pocetDomacichTvurcuVysledku
1
n4:pocetTvurcuVysledku
1
n4:pocetUcastnikuAkce
0
n4:pocetZahranicnichUcastnikuAkce
0
n4:projekt
n10:GA201%2F99%2F0296
n4:rokUplatneniVysledku
n8:2001
n4:svazekPeriodika
66
n4:tvurceVysledku
Janyška, Josef
n4:zamer
n17:MSM%20143100009
s:issn
0009-725X
s:numberOfPages
12
n13:organizacniJednotka
14310