Artículo

Dirac method and symplectic submanifolds in the cotangent bundle of a factorizable Lie group

Capriotti, SantiagoIcon ; Montani, Hugo SantosIcon
Fecha de publicación: 07/2011
Editorial: American Institute of Physics
Revista: Journal of Mathematical Physics
ISSN: 0022-2488
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

We study some symplectic submanifolds in the cotangent bundle of a factorizable Lie group defined by second class constraints. By applying the Dirac method, we study many issues of these spaces as fundamental Dirac brackets, symmetries, and collective dynamics. As the main application, we study integrable systems on these submanifolds as inherited from a system on the whole cotangent bundle, meeting in a natural way with the Adler-Kostant-Symes theory of integrability. © 2011 American Institute of Physics.
Palabras clave: Dirac Equation , Integral Equations , Lie Groups
 
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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/66951
DOI: https://dx.doi.org/10.1063/1.3603427
URL: https://aip.scitation.org/doi/10.1063/1.3603427
Colecciones
Articulos(CCT - BAHIA BLANCA)
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - BAHIA BLANCA
Citación
Capriotti, Santiago; Montani, Hugo Santos; Dirac method and symplectic submanifolds in the cotangent bundle of a factorizable Lie group; American Institute of Physics; Journal of Mathematical Physics; 52; 7; 7-2011; 1-33
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