De Donder-Weyl equations and multisymplectic geometry

DOI10.1016/S0034-4877(02)80030-1zbMath1018.70010arXivmath-ph/0107019OpenAlexW2075892504MaRDI QIDQ1853824

Cornelius Paufler, Hartmann Römer

Publication date: 22 January 2003

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0107019

zbMATH Keywords

multisymplectic geometryHamiltonian formulationgeometric field theory

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05)

Related Items (5)

Generating functions of multi-symplectic RK methods via DW Hamilton-Jacobi equations ⋮ THE HAMILTON–JACOBI FORMALISM FOR HIGHER-ORDER FIELD THEORIES ⋮ Multi-symplectic, Lagrangian, one-dimensional gas dynamics ⋮ HAMILTON–JACOBI THEORY IN k-COSYMPLECTIC FIELD THEORIES ⋮ Clifford algebraic approach to the de Donder-Weyl Hamiltonian theory

Cites Work

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• A Poisson bracket on multisymplectic phase space
• Dynamical structures for k-vector fields
• A Darboux theorem for multi-symplectic manifolds
• Canonical structure of classical field theory in the polymomentum phase space
• On field theoretic generalizations of a Poisson algebra
• Multivector field formulation of Hamiltonian field theories: equations and symmetries

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