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A Generalized Lagrangian Formalism in Particle Mechanics and Classical Field Theory
Author(s) -
Grigore D. R.
Publication year - 1993
Publication title -
fortschritte der physik/progress of physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.2190410702
Subject(s) - formalism (music) , lagrangian , homogeneous space , noetherian , classical mechanics , lagrangian system , mathematical physics , mathematics , physics , generalization , theoretical physics , algebra over a field , mathematical analysis , pure mathematics , geometry , art , musical , visual arts
A geometric generalization of the first‐order Lagrangian formalism is proposed, following the original ideas of Poincaré and Cartan and the extension to field theory due to Krupka, Betounes and Rund. The method is particularly suited for the study of Noetherian symmetries. This point is proved by explicit study of many interesting systems with groups of symmetries appearing in theoretical physics.