Matrix bases for star products: a review

DOI10.3842/SIGMA.2014.086zbMath1307.46053arXiv1403.0808OpenAlexW2027250407MaRDI QIDQ401282

Patrizia Vitale, Fedele Lizzi

Publication date: 26 August 2014

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.0808

zbMATH Keywords

noncommutative geometrystar productsmatrix models

Mathematics Subject Classification ID

Quantizations, deformations for selfadjoint operator algebras (46L65)

Related Items (11)

Noncommutative \( {{\mathbb{R}}}^d \) via closed star product ⋮ Fuzzy de Sitter Space from kappa‐Minkowski Space in Matrix Basis ⋮ The Weyl–Mellin quantization map ⋮ Observables, evolution equation, and stationary states equation in the joint probability representation of quantum mechanics ⋮ Quantizer-dequantizer operators as a tool for formulating the quantization procedure ⋮ Gauge transformation of quantum states in probability representation ⋮ Time discretization from noncommutativity ⋮ Derivation based differential calculi for noncommutative algebras deforming a class of three dimensional spaces ⋮ Evolution equation for a joint tomographic probability distribution of spin-1 particles ⋮ The complex Weyl calculus as a Stratonovich-Weyl correspondence for the real diamond group ⋮ A fuzzy bipolar celestial sphere

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