Symbol correspondence for Euclidean systems

DOI10.7546/JGSP-62-2021-67-84OpenAlexW4206597076MaRDI QIDQ2110917

Laarni B. Natividad, Job A. Nable

Publication date: 23 December 2022

Published in: Journal of Geometry and Symmetry in Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7546/jgsp-62-2021-67-84

zbMATH Keywords

Wigner functionunitary representationsEuclidean motion groupWeyl transformMoyal star-product

Mathematics Subject Classification ID

Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Deformation quantization, star products (53D55)

Cites Work

• Unnamed Item
• Star products and applications
• Weyl transforms
• Foundations of time-frequency analysis
• Wigner functions and Weyl operators on the Euclidean motion group
• Lie Group Convolution Algebras as Deformation Quantizations of Linear Poisson Structures
• Frame transforms, star products and quantum mechanics on phase space
• Spherical Harmonics, the Weyl Transform and the Fourier Transform on the Heisenberg Group
• Algebras of distributions suitable for phase-space quantum mechanics. I
• Ten Lectures on Wavelets
• The Heisenberg group and the group Fourier transform of regular homogeneous distributions
• Star Product and Star Exponential
• Wigner distribution function for finite systems

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