Legendre transformation for regularizable Lagrangians in field theory

DOI10.1023/A:1014548309187zbMath1005.70025arXivmath-ph/0111004OpenAlexW3092141465MaRDI QIDQ1599558

Dana Smetanová, Olga Krupková

Publication date: 11 June 2002

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0111004

zbMATH Keywords

regularityEuler-Lagrange equationselectromagnetic fieldDirac fieldHamilton equationsLegendre transformationfirst-order LagrangianLepagean formHamilton-De Donder theoryPoincaré-Cartan equivalentregularizable Lagrangians

Mathematics Subject Classification ID

Applications of global analysis to the sciences (58Z05) Electromagnetic theory (general) (78A25) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05)

Related Items (10)

Lagrangian and Hamiltonian duality ⋮ Higher order Hamiltonian systems with generalized Legendre transformation ⋮ The Lagrangian order-reduction theorem in field theories ⋮ Lepage Manifolds ⋮ Extended Hamiltonian systems in multisymplectic field theories ⋮ THE CARTAN FORM AND ITS GENERALIZATIONS IN THE CALCULUS OF VARIATIONS ⋮ Hamiltonian structure of the Yang-Mills functional ⋮ CONSTRAINT ALGORITHM FOR k-PRESYMPLECTIC HAMILTONIAN SYSTEMS: APPLICATION TO SINGULAR FIELD THEORIES ⋮ Unnamed Item ⋮ Partial differential equations with differential constraints

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