Routh reduction for first-order Lagrangian field theories

We present a reduction theory for first-order Lagrangian field theories which takes into account the conservation of momenta. The relation between the solutions of the original problem with a prescribed value of the momentum and the solutions of the reduced problem is established. An illustrative ex...

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Detalles Bibliográficos
Autores: Capriotti, Santiago, García-Toraño Andrés, Eduardo
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2018
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/89063
Acceso en línea:http://hdl.handle.net/11336/89063
Access Level:acceso abierto
Palabra clave:LAGRANGIAN FIELD THEORY
MOMENTUM
REDUCTION
SYMMETRY
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
Descripción
Sumario:We present a reduction theory for first-order Lagrangian field theories which takes into account the conservation of momenta. The relation between the solutions of the original problem with a prescribed value of the momentum and the solutions of the reduced problem is established. An illustrative example is discussed in detail.