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Эта публикация цитируется в 47 научных статьях (всего в 47 статьях)
Multisymplectic Lagrangian and Hamiltonian Formalisms of Classical Field Theories
Narciso Román-Roy Dept. Matemática Aplicada IV, Edif icio C-3, Campus Norte UPC, C/ Jordi Girona 1, E-08034 Barcelona, Spain
Аннотация:
This review paper is devoted to presenting the standard multisymplectic formulation for describing geometrically classical field theories, both the regular and singular cases. First, the main features of the Lagrangian formalism are revisited and, second, the Hamiltonian formalism is constructed using Hamiltonian sections. In both cases, the variational principles leading to the Euler–Lagrange and the Hamilton–De Donder–Weyl equations, respectively, are stated, and these field equations are given in different but equivalent
geometrical ways in each formalism. Finally, both are unified in a new formulation (which has been developed in the last years), following the original ideas of Rusk and Skinner for mechanical systems.
Ключевые слова:
classical field theories; Lagrangian and Hamiltonian formalisms; fiber bundles; multisymplectic manifolds.
Поступила: 2 июля 2009 г.; в окончательном варианте 30 октября 2009 г.; опубликована 6 ноября 2009 г.
Образец цитирования:
Narciso Román-Roy, “Multisymplectic Lagrangian and Hamiltonian Formalisms of Classical Field Theories”, SIGMA, 5 (2009), 100, 25 pp.
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/sigma446 https://www.mathnet.ru/rus/sigma/v5/p100
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Страница аннотации: | 307 | PDF полного текста: | 84 | Список литературы: | 48 |
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