Hamilton-Jacobi theory in multisymplectic classical field theories
نویسندگان
چکیده
منابع مشابه
A Geometric Hamilton-jacobi Theory for Classical Field Theories
In this paper we extend the geometric formalism of the Hamilton-Jacobi theory for hamiltonian mechanics to the case of classical field theories in the framework of multisymplectic geometry and Ehresmann connections.
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In previous work n-symplectic geometry on the adapted frame bundle λ : LπE → E of an n = (m + k)-dimensional fiber bundle π : E → M has been used to forumulate covariant Lagrangian field theory that is standardly formulated on the bundle J1π of 1 jets of sections of π. In this paper we set up an n-symplectic Hamilton-Jacobi equation in order to identify the analogue of a polarization that plays...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2017
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.5004260