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Lagrangian-Hamiltonian unified formalism for field theory
Echeverría Enríquez, Arturo; López, Carlos; Marín Solano, Jesús; Muñoz Lecanda, Miguel Carlos; Román Roy, Narciso
Universitat de Barcelona
The RuskSkinner formalism was developed in order to give a geometrical unified formalism for describing mechanical systems. It incorporates all the characteristics of Lagrangian and Hamiltonian descriptions of these systems (including dynamical equations and solutions, constraints, Legendre map, evolution operators, equivalence, etc.). In this work we extend this unified framework to first-order classical field theories, and show how this description comprises the main features of the Lagrangian and Hamiltonian formalisms, both for the regular and singular cases. This formulation is a first step toward further applications in optimal control theory for partial differential equations. 2004 American Institute of Physics.
2012-04-26
Mecànica
Equacions en derivades parcials
Teoria de camps (Física)
Mechanics
Partial differential equations
Field theory
(c) American Institute of Physics, 2004
Article
American Institute of Physics
         

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