Central extensions and realizations of one-dimensional Galilean systems and quantization

DOI10.1088/0305-4470/29/3/019zbMath0911.22016OpenAlexW2074565250MaRDI QIDQ4227650

Miguel Angel Martín, Mariano A. del Olmo

Publication date: 28 April 1999

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/29/3/019

zbMATH Keywords

Galilei groupStratonovich-Weyl correspondenceMoyal quantizationunitary irreducible realizations

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) 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)

Related Items (4)

Moyal quantization on the cylinder ⋮ \((2+1)\) Newton-Hooke classical and quantum systems ⋮ (1 + 1) Newton–Hooke group for the simple and damped harmonic oscillator ⋮ Geometrical origin of the \(\ast\)-product in the Fedosov formalism

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