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

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F01%3A00004183" target="_blank" >RIV/00216224:14310/01:00004183 - isvavai.cz</a>

Result on the web

—

DOI - Digital Object Identifier

—

Result language

angličtina

Original language name

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

Original language 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 thecanonical 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.

Czech name

—

Czech description

—

Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

—

Project

<a href="/en/project/GA201%2F99%2F0296" target="_blank" >GA201/99/0296: Differential geometry of higher order</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2001

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Supplemento ai Rendiconti del Circolo Matematico di Palermo,Serie II

ISSN

0009-725X

e-ISSN

—

Volume of the periodical

66

Issue of the periodical within the volume

2

Country of publishing house

IT - ITALY

Number of pages

12

Pages from-to

117

UT code for WoS article

—

EID of the result in the Scopus database

—