Hamiltonian formalism for nonlocal Lagrangians

A Hamiltonian formalism is set up for nonlocal Lagrangian systems. The method is based on obtaining an equivalent singular first order Lagrangian, which is processed according to the standard Legendre transformation and then, the resulting Hamiltonian formalism is pulled back onto the phase space de...

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Detalles Bibliográficos
Autores: Llosa, Josep, Vives Nebot, Jordi
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:1994
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2445/24567
Acceso en línea:https://hdl.handle.net/2445/24567
Access Level:acceso abierto
Palabra clave:Mecànica
Equacions diferencials
Pertorbacions singulars (Matemàtica)
Mechanics
Differential equations
Singular perturbations (Mathematics)
Descripción
Sumario:A Hamiltonian formalism is set up for nonlocal Lagrangian systems. The method is based on obtaining an equivalent singular first order Lagrangian, which is processed according to the standard Legendre transformation and then, the resulting Hamiltonian formalism is pulled back onto the phase space defined by the corresponding constraints. Finally, the standard results for local Lagrangians of any order are obtained as a particular case.