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arXiv · 1708.02774

Dynamical aspects in the Quantizer-Dequantizer formalism

Florio M. Ciaglia·Fabio Di Cosmo·Alberto Ibort·Giuseppe Marmo
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Abstract

The use of the quantizer-dequantizer formalism to describe the evolution of a quantum system is reconsidered. We show that it is possible to embed a manifold in the space of quantum states of a given auxiliary system by means of an appropriate quantizer-dequantizer system. If this manifold of states is invariant with respect to some unitary evolution, the quantizer-dequantizer system provides a classical-like realization of such dynamics, which in general is non linear. Integrability properties are also discussed. Weyl systems and generalized coherente states are used as a simple illustration of these ideas.

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Florio M. Ciaglia, Fabio Di Cosmo, Alberto Ibort, Giuseppe Marmo. 2017-08-09. Dynamical aspects in the Quantizer-Dequantizer formalism. https://doi.org/10.1016/j.aop.2017.08.025

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