Dynamical aspects in the Quantizer-Dequantizer formalism
Quantum Physics
2018-02-07 v1
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.
Cite
@article{arxiv.1708.02774,
title = {Dynamical aspects in the Quantizer-Dequantizer formalism},
author = {Florio M. Ciaglia and Fabio Di Cosmo and Alberto Ibort and Giuseppe Marmo},
journal= {arXiv preprint arXiv:1708.02774},
year = {2018}
}
Comments
15 pages