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http://hdl.handle.net/2445/24583
Title: | Lagrangian-Hamiltonian unified formalism for field theory |
Author: | Echeverría Enríquez, Arturo López, Carlos Marín Solano, Jesús Muñoz Lecanda, Miguel Carlos Román-Roy, Narciso |
Keywords: | Mecànica Equacions en derivades parcials Teoria de camps (Física) Mechanics Partial differential equations Field theory |
Issue Date: | 2004 |
Publisher: | American Institute of Physics |
Abstract: | 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. |
Note: | Reproducció digital del document proporcionada per AIP i http://dx.doi.org/10.1063/1.1628384 |
It is part of: | Journal of Mathematical Physics, 2004, vol. 45, num. 1, p. 360-380 |
URI: | http://hdl.handle.net/2445/24583 |
Related resource: | http://dx.doi.org/10.1063/1.1628384 |
ISSN: | 0022-2488 |
Appears in Collections: | Articles publicats en revistes (Matemàtica Econòmica, Financera i Actuarial) |
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File | Description | Size | Format | |
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510892.pdf | 235.7 kB | Adobe PDF | View/Open |
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