Quantum dynamics in Weyl-Heisenberg coherent states

TL;DR

This paper introduces a new formalism using Weyl-Heisenberg coherent states to analyze quantum dynamics, providing a semi-classical perspective and a novel way to distinguish classical and quantum degrees of freedom.

Contribution

It develops a formalism based on evolving fiducial vectors in coherent states, enabling a semi-classical interpretation of quantum systems and new definitions of classical states.

Findings

Decomposition aligns quantum mechanics with semi-classical perception.

Introduces a new definition of classical states.

Provides an example of a meta-stable state.

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.