NONLOCAL LAGRANGIANS AND HAMILTONIAN FORMALISM
Josep Llosa, J. Vives
Abstract
Josep Llosa, J. Vives
Abstract
A presymplectic formalism is set up for nonlocal Lagrangian systems. The method is based on an ‘equivalent’ first order Lagrangian that is processed by standard ways of classical mechanics. The Hamiltonian formalism for the latter is then pulled back onto the infinite dimensional phase space of the nonlocal system.
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A presymplectic formalism is set up for nonlocal Lagrangian systems. The method is based on an ‘equivalent’ first order Lagrangian that is processed by standard ways of classical mechanics. The Hamiltonian formalism for the latter is then pulled back onto the infinite dimensional phase space of the nonlocal system.
Key concepts: Lagrangian, Formalism (music), Physics, Covariant Hamiltonian field theory, Classical mechanics, Hamiltonian (control theory), Phase space, Hamiltonian formalism