Symmetries of a dynamical system represented by singular Lagrangians

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F12%3AA140168W" target="_blank" >RIV/61988987:17310/12:A140168W - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Symmetries of a dynamical system represented by singular Lagrangians

Popis výsledku v původním jazyce

Dynamical properties of singular Lagrangian systems differ from those of classical Lagrangians of the form L=T-V. Even less is known about symmetries and conservation laws of such Lagrangians and of their corresponding actions. In this article we study symmetries and conservation laws of a concrete singular Lagrangian system interesting in physics. We solve the problem of determining all point symmetries of the Lagrangian and of its Euler-Lagrange form, i.e. of the action. It is known that every point symmetry of a Lagrangian is a point symmetry of its Euler-Lagrange form, and this of course happens also in our case. We are also interested in the converse statement, namely if to every point symmetry of the Euler-Lagrange form E there exists a Lagrangian for E such that the symmetry is a point symmetry of the Lagrangian In the case studied the answer is affirmative, moreover we have found that the corresponding Lagrangians are all of order one.

Název v anglickém jazyce

Symmetries of a dynamical system represented by singular Lagrangians

Popis výsledku anglicky

Dynamical properties of singular Lagrangian systems differ from those of classical Lagrangians of the form L=T-V. Even less is known about symmetries and conservation laws of such Lagrangians and of their corresponding actions. In this article we study symmetries and conservation laws of a concrete singular Lagrangian system interesting in physics. We solve the problem of determining all point symmetries of the Lagrangian and of its Euler-Lagrange form, i.e. of the action. It is known that every point symmetry of a Lagrangian is a point symmetry of its Euler-Lagrange form, and this of course happens also in our case. We are also interested in the converse statement, namely if to every point symmetry of the Euler-Lagrange form E there exists a Lagrangian for E such that the symmetry is a point symmetry of the Lagrangian In the case studied the answer is affirmative, moreover we have found that the corresponding Lagrangians are all of order one.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

<a href="/cs/project/GA201%2F09%2F0981" target="_blank" >GA201/09/0981: Globální analýza a geometrie fibrovaných prostorů</a><br>

Návaznosti

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

Rok uplatnění

2012

Kód důvěrnosti údajů

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

Název periodika

Communications in Mathematics

ISSN

1804-1388

e-ISSN

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Svazek periodika

20

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

CZ - Česká republika

Počet stran výsledku

10

Strana od-do

23-32

Kód UT WoS článku

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EID výsledku v databázi Scopus

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