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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 the field variables are regularizable. The dirac field and the electromagnetic field are discussed in detail.
  • 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 the field variables are regularizable. The dirac field and the electromagnetic field are discussed in detail. (en)
Title
  • Legendre transformation for regularizable Lagrangians in field theory
  • Legendre transformation for regularizable Lagrangians in field theory (en)
skos:prefLabel
  • Legendre transformation for regularizable Lagrangians in field theory
  • Legendre transformation for regularizable Lagrangians in field theory (en)
skos:notation
  • RIV/47813059:19610/02:00000083!RIV/2003/GA0/196103/N
http://linked.open.../vavai/riv/strany
  • 189;204
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/00/0724), Z(MSM 192400002)
http://linked.open...iv/cisloPeriodika
  • 3
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 651683
http://linked.open...ai/riv/idVysledku
  • RIV/47813059:19610/02:00000083
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Lagrangian;Poincaré-Cartan form;Lepagean form;Hamilton-De Donder equations;regularity;regularizable Lagrangian;Legendre transformation;Dirac field;electromagnetic field (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [95DDF7B78EAD]
http://linked.open...i/riv/nazevZdroje
  • Letters in Mathematical Physics
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...ocetUcastnikuAkce
http://linked.open...nichUcastnikuAkce
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 58
http://linked.open...iv/tvurceVysledku
  • Krupková, Olga
http://linked.open...n/vavai/riv/zamer
issn
  • 0377-9017
number of pages
http://localhost/t...ganizacniJednotka
  • 19610
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