Star products: a group-theoretical point of view

DOI10.1088/1751-8113/42/47/475210zbMath1186.81080arXiv0902.3101OpenAlexW3106306806MaRDI QIDQ3402121

Paolo Aniello

Publication date: 2 February 2010

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

Full work available at URL: https://arxiv.org/abs/0902.3101

zbMATH Keywords

groupstar productprojective representationquantization mapWigner map

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Geometry and quantization, symplectic methods (81S10) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Deformation quantization, star products (53D55)

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A class of stochastic products on the convex set of quantum states ⋮ Twirled products and group-covariant symbols ⋮ Group-covariant stochastic products and phase-space convolution algebras ⋮ Calculus of operators: covariant transform and relative convolutions ⋮ Quantum stochastic products and the quantum convolution ⋮ Square Integrable Representations, An Invaluable Tool ⋮ On a Certain Class of Semigroups of Operators ⋮ CLASSICAL TENSORS AND QUANTUM ENTANGLEMENT II: MIXED STATES

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