Legendre transformation for regularizable Lagrangians in field theory
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F02%3A00000083" target="_blank" >RIV/47813059:19610/02:00000083 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Legendre transformation for regularizable Lagrangians in field theory
Original language description
Hamilton equation based not only upon Poincaré-Cartan equivalent of a first order Lagrangian, but also upon its Lepagean equivalent are investigated. Lagrangians which are singular within the Hamilton De Donder theory, but regularisable in this generalized sense are studied Legendre transformation for regularisable Lagrangians is proposed and Hamilton equations , equivalent with the Euler-Lagrange equations, are found. It is shown that all Lagrangians affine or quadratic in the first derivatives of thefield variables are regularizable. The dirac field and the electromagnetic field are discussed in detail.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GA201%2F00%2F0724" target="_blank" >GA201/00/0724: Geometric analysis</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2002
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Letters in Mathematical Physics
ISSN
ISSN0377-9017
e-ISSN
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Volume of the periodical
58
Issue of the periodical within the volume
3
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
16
Pages from-to
189-204
UT code for WoS article
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EID of the result in the Scopus database
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