Quantum dynamics in Weyl-Heisenberg coherent states

• URL: http://arxiv.org/abs/2009.00056v2
• Date: Wed, 9 Sep 2020 08:46:18 GMT
• Title: Quantum dynamics in Weyl-Heisenberg coherent states
• Authors: Artur Miroszewski
• Abstract summary: 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.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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