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

Result code in 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>
Result on the web
<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>

Result language
angličtina
Original language name
The calculus of variations on jet bundles as a universal approach for a variational formulation of fundamental physical theories
Original language description
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.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
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Project
<a href="/en/project/GA14-02476S" target="_blank" >GA14-02476S: Variations, geometry and physics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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