Precuantización en difeologías suaves

We define a prequantization in the category of smooth diffeological spaces ( a category which includes finite an infinite dimensional systems), in the case where the symplectic form is exact, extending, for this case, the results of Kirillov, Kostant and Souriau which are devoloped for finite dimens...

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Main Author: Torre, Carlos
Format: Artículo
Language: Español
Published: 2015
Online Access: http://revistas.ucr.ac.cr/index.php/matematica/article/view/146
http://hdl.handle.net/10669/12779
Summary: We define a prequantization in the category of smooth diffeological spaces ( a category which includes finite an infinite dimensional systems), in the case where the symplectic form is exact, extending, for this case, the results of Kirillov, Kostant and Souriau which are devoloped for finite dimensional Physical systems.