| JANYŠKA, Josef. A remark on natural quantum Lagrangians and natural generalized Schroedinger operators in Galilei quantum mechanics. Supplemento ai Rendiconti del Circolo Matematico di Palermo,Serie II. Palermo, Itálie: Univerzita Palermo, 2001, roč. 66, č. 2, s. 117-128. ISSN 0009-725X. |
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@article{361891,
author = {Janyška, Josef},
article_location = {Palermo, Itálie},
article_number = {2},
keywords = {Natural operator; quantum bundle; quantum connection; quantum Lagrangian; Schroedinger operator},
language = {eng},
issn = {0009-725X},
journal = {Supplemento ai Rendiconti del Circolo Matematico di Palermo,Serie II},
title = {A remark on natural quantum Lagrangians and natural generalized Schroedinger operators in Galilei quantum mechanics},
volume = {66},
year = {2001}
}
TY - JOUR
ID - 361891
AU - Janyška, Josef
PY - 2001
TI - A remark on natural quantum Lagrangians and natural generalized Schroedinger operators in Galilei quantum mechanics
JF - Supplemento ai Rendiconti del Circolo Matematico di Palermo,Serie II
VL - 66
IS - 2
SP - 117
EP - 117
PB - Univerzita Palermo
SN - 0009725X
KW - Natural operator
KW - quantum bundle
KW - quantum connection
KW - quantum Lagrangian
KW - Schroedinger operator
N2 - 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.
ER -
JANYŠKA, Josef. A remark on natural quantum Lagrangians and natural generalized Schroedinger operators in Galilei quantum mechanics. \textit{Supplemento ai Rendiconti del Circolo Matematico di Palermo,Serie II}. Palermo, Itálie: Univerzita Palermo, 2001, roč.~66, č.~2, s.~117-128. ISSN~0009-725X.
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