Hamiltonian field theory

DOI10.1016/S0393-0440(01)00087-0zbMath1016.37033OpenAlexW2092787253MaRDI QIDQ697827

Olga Krupková

Publication date: 17 September 2002

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0393-0440(01)00087-0

zbMATH Keywords

regularityLagrangianHamilton equationsLegendre transformationLepagean form

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Jets in global analysis (58A20) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Nonholonomic dynamical systems (37J60)

Related Items (23)

Variational first-order partial differential equations ⋮ Lagrangian and Hamiltonian formulation for infinite-dimensional systems – a variational point of view ⋮ Variational sequences, representation sequences and applications in physics ⋮ Lagrangian and Hamiltonian duality ⋮ Higher order Hamiltonian systems with generalized Legendre transformation ⋮ The Lagrangian order-reduction theorem in field theories ⋮ Hamilton-Jacobi theory for gauge field theories ⋮ Hamilton-Jacobi theory in multisymplectic classical field theories ⋮ Lepage Manifolds ⋮ The structure of the Euler-Lagrange mapping ⋮ SYMMETRIES IN CLASSICAL FIELD THEORY ⋮ THE CARTAN FORM AND ITS GENERALIZATIONS IN THE CALCULUS OF VARIATIONS ⋮ The Lagrangian-Hamiltonian formalism for higher-order field theories ⋮ ON SOME ASPECTS OF THE GEOMETRY OF DIFFERENTIAL EQUATIONS IN PHYSICS ⋮ Hamiltonian structure of the Yang-Mills functional ⋮ Geometry of Lagrangian and Hamiltonian formalisms in the dynamics of strings ⋮ Some concepts of regularity for parametric multiple-integral problems in the calculus of variations ⋮ Lepage Equivalents of Second-Order Euler–Lagrange Forms and the Inverse Problem of the Calculus of Variations ⋮ Distinguished Riemann-Hamilton geometry in the polymomentum electrodynamics ⋮ Unnamed Item ⋮ Partial differential equations with differential constraints ⋮ Regularized polysymplectic geometry and first steps towards Floer theory for covariant field theories ⋮ Multicontact formulation for non-conservative field theories

Cites Work

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