Geometric classification of general dynamical systems
type: Item
instance of: scholarly article
title: Geometric classification of general dynamical systems
zbMATH Open document ID: 0706.17018
DOI: 10.1007/BF00669349
author: A. Petrov
published in: International Journal of Theoretical Physics
publication date: 1989-01-01T00:00:00Z
review text: The author's aim is to give a definition of a dynamical system which incorporates the classical as well as the quantum case. He suggests several axiomatics in which he brings together Lie algebras and the spectral theory of ordered vector spaces.
Mathematics Subject Classification ID: 17B81
Mathematics Subject Classification ID: 81Q10
Mathematics Subject Classification ID: 53D50
zbMATH DE Number: 4158909
zbMATH Keywords: invariant cones
zbMATH Keywords: quantum dynamical systems
zbMATH Keywords: axiomatics
zbMATH Keywords: Lie algebras
zbMATH Keywords: spectral theory of ordered vector spaces
reviewed by: Joachim Hilgert
MaRDI profile type: Publication
cites work: Finding decompositions of a class of separable states
cites work: An operational approach to quantum probability
cites work: The operational approach to algebraic quantum theory. I
cites work: Classification of invariant cones in Lie algebras
cites work: Q4693080
cites work: Invariant convex cones and causality in semisimple Lie algebras and groups
cites work: Determination of invariant convex cones in simple Lie algebras
cites work: Invariantly ordered spectral Lie algebras as abstract dynamical systems
cites work: Q3283133
full work available at URL: https://doi.org/10.1007/bf00669349
OpenAlex ID: W2090357872
description: scientific article; zbMATH DE number 4158909