The space of density states in geometrical quantum mechanics

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We present a geometrical description of the space of density states of a quantum system of finite dimension. After presenting a brief summary of the geometrical formulation of Quantum Mechanics, we proceed to describe the space of density states $\D(\Hil)$ from a geometrical perspective identifying the stratification associated to the natural $GL(\Hil)$--action on $\D(\Hil)$ and some of its properties. We apply this construction to the cases of quantum systems of two and three levels.
Amslatex, 18 pages, 4 figures

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Quantum Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/135015

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0707.3759
 http://arxiv.org/abs/0707.3759
 Chapter in the book "Differential Geometric Methods in Mechanics and Field Theory", Volume in Honour of Willy Sarlet, Eds. F. Cantrijn, M. Crampin and B. Langerock, Gent Academia Press 2007, pag. 35-56

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arXiv