Günther’s formalism (k-symplectic formalism) in classical field theory: Skinner–Rusk approach and the evolution operator | Zendy

A. Martı́n del Rey | Zendy; Narciso RománRoy | Zendy; Modesto Salgado | Zendy

Open Access

Günther’s formalism (k-symplectic formalism) in classical field theory: Skinner–Rusk approach and the evolution operator

Author(s) -

A. Martı́n del Rey,

Narciso RománRoy,

Modesto Salgado

Publication year - 2005

Publication title -

journal of mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.708

H-Index - 119

eISSN - 1089-7658

pISSN - 0022-2488

DOI - 10.1063/1.1876872

Subject(s) - formalism (music) , symplectic geometry , covariant hamiltonian field theory , mathematical physics , first order , mathematics , theoretical physics , physics , pure mathematics , hamiltonian system , literature , art , musical

The first aim of this paper is to extend the Skinner-Rusk formalism onclassical mechanics for first-order field theories. The second is to generalize the definition and properties of the evolutionK-operator on classical mechanics for first-order field theories using in bothcases Gunther's formalism (k-symplectic formalism).Comment: LaTeX file, 33 p

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