Quantum dynamics in Weyl-Heisenberg coherent states
General Relativity and Quantum Cosmology
2020-09-10 v2 Quantum Physics
Abstract
The article explores a new formalism for describing motion in quantum mechanics. The construction is based on generalized coherent states with evolving fiducial vector. Weyl-Heisenberg coherent states are utilised to split quantum systems into `classical' and `quantum' degrees of freedom. The decomposition is found to be equivalent to quantum mechanics perceived from a semi-classical frame. The split allows for introduction of a new definition of classical state and is a convenient starting point for approximate analysis of quantum dynamics. An example of a meta-stable state is given as a practical illustration of the introduced concepts.
Keywords
Cite
@article{arxiv.2009.00056,
title = {Quantum dynamics in Weyl-Heisenberg coherent states},
author = {Artur Miroszewski},
journal= {arXiv preprint arXiv:2009.00056},
year = {2020}
}
Comments
18 pages, 3 figures; version 2: spelling mistakes corrected, references updated