The Moyal Bracket in the Coherent States framework
M. Daoud, E.H. El Kinani
TL;DR
This paper explores the formulation of the Moyal bracket within the coherent states framework, specifically using Gazeau-Klauder and Perelomov-Klauder states, extending to systems with non-linear spectra including the harmonic oscillator.
Contribution
It introduces the star product and Moyal bracket in the coherent states framework for non-linear quantum systems, comparing two types of coherent states.
Findings
Defined star product and Moyal bracket for Gazeau-Klauder states
Extended the formalism to Perelomov-Klauder states
Discussed special case of harmonic oscillator
Abstract
The star product and Moyal bracket are introduced using the coherent states corresponding to quantum systems with non-linear spectra. Two kinds of coherent state are considered. The first kind is the set of Gazeau-Klauder coherent states and the second kind are constructed following the Perelomov-Klauder approach. The particular case of the harmonic oscillator is also discussed.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.