Groupoids and the tomographic picture of quantum mechanics

DOI10.1088/0031-8949/88/05/055003zbMath1279.81055arXiv1309.2782OpenAlexW3101170310MaRDI QIDQ2870404

A. Simoni, Vladimir I. Man'ko, Alberto Ibort, Giuseppe Marmo, Cosimo Stornaiolo, Franco Ventriglia

Publication date: 20 January 2014

Published in: Physica Scripta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.2782

Mathematics Subject Classification ID

Abstract operator algebras on Hilbert spaces (47L30) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Geometry and quantization, symplectic methods (81S10) Noncommutative geometry in quantum theory (81R60) Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05)

Related Items (5)

A gentle introduction to Schwinger’s formulation of quantum mechanics: The groupoid picture ⋮ The groupoid of bifractional transformations ⋮ Tomographic causal analysis of two-qubit states and tomographic discord ⋮ Schwinger’s picture of quantum mechanics I: Groupoids ⋮ Lie groupoids in information geometry

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