The calculus of variations on jet bundles as a universal approach for a variational formulation of fundamental physical theories

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F16%3A00088597" target="_blank" >RIV/00216224:14310/16:00088597 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1515/cm-2016-0012" target="_blank" >http://dx.doi.org/10.1515/cm-2016-0012</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1515/cm-2016-0012" target="_blank" >10.1515/cm-2016-0012</a>

Jazyk výsledku

angličtina

Název v původním jazyce

The calculus of variations on jet bundles as a universal approach for a variational formulation of fundamental physical theories

Popis výsledku v původním jazyce

As widely accepted, justied by the historical developments of physics, the background for standard formulation of postulates of physical theories leading to equations of motion, or even the form of equations of motion themselves, come from empirical experience. Equations of motion are then a starting point for obtaining specic conservation laws, as, for example, the well-known conservation laws of momenta and mechanical energy in mechanics. On the other hand, there are numerous examples of physical laws or equations of motion which can be obtained from a certain variational principle as Euler-Lagrange equations and their solutions, meaning that the true trajectories" of the physical systems represent stationary points of the corresponding functionals. It turns out that equations of motion in most of the fundamental theories of physics (as e.g. classical mechanics, mechanics of continuous media or uids, electrodynamics, quantum mechanics, string theory, etc.

Název v anglickém jazyce

The calculus of variations on jet bundles as a universal approach for a variational formulation of fundamental physical theories

Popis výsledku anglicky

As widely accepted, justied by the historical developments of physics, the background for standard formulation of postulates of physical theories leading to equations of motion, or even the form of equations of motion themselves, come from empirical experience. Equations of motion are then a starting point for obtaining specic conservation laws, as, for example, the well-known conservation laws of momenta and mechanical energy in mechanics. On the other hand, there are numerous examples of physical laws or equations of motion which can be obtained from a certain variational principle as Euler-Lagrange equations and their solutions, meaning that the true trajectories" of the physical systems represent stationary points of the corresponding functionals. It turns out that equations of motion in most of the fundamental theories of physics (as e.g. classical mechanics, mechanics of continuous media or uids, electrodynamics, quantum mechanics, string theory, etc.

Druh

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

CEP obor

BE - Teoretická fyzika

OECD FORD obor

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Projekt

<a href="/cs/project/GA14-02476S" target="_blank" >GA14-02476S: Variace, geometrie a fyzika</a><br>

Návaznosti

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

Rok uplatnění

2016

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

24

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

CZ - Česká republika

Počet stran výsledku

21

Strana od-do

173-193

Kód UT WoS článku

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EID výsledku v databázi Scopus

2-s2.0-85008950966