Dynamics of mixed classical-quantum systems, geometric quantization and coherent states
Quantum Physics
2011-11-28 v1
Abstract
We describe quantum and classical Hamiltonian dynamics in a common Hilbert space framework, that allows the treatment of mixed quantum-classical systems. The analysis of some examples illustrates the possibility of entanglement between classical and quantum systems. We give a summary of the main tools of Berezin-Toeplitz and geometric quantization, that provide a relation between the classical and the quantum models, based essentially on the selection of a subspace of the classical Hilbert space. Coherent states provide a systematic tool for the inverse process, called dequantization, that associates a classical Hamiltonian system to a given quantum dynamics through the choice of a complete set of coherent states.
Cite
@article{arxiv.1111.5774,
title = {Dynamics of mixed classical-quantum systems, geometric quantization and coherent states},
author = {H. R. Jauslin and D. Sugny},
journal= {arXiv preprint arXiv:1111.5774},
year = {2011}
}