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arXiv · 0707.3759

The space of density states in geometrical quantum mechanics

J. Clemente-Gallardo·G. Marmo
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Abstract

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.

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J. Clemente-Gallardo, G. Marmo. 2007-07-25. The space of density states in geometrical quantum mechanics. https://arxiv.org/abs/0707.3759

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