Dynamical aspects in the quantizer-dequantizer formalism Articles uri icon

publication date

  • October 2017

start page

  • 769

end page

  • 781


  • 385

International Standard Serial Number (ISSN)

  • 0003-4916

Electronic International Standard Serial Number (EISSN)

  • 1096-035X


  • 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 coherent states are used as a simple illustration of these ideas. (C) 2017 Elsevier Inc. All rights reserved.


  • quantum mechanics; quantum-to-classical transition; dynamical reduction