Hilbert space representation of time evolution of pure states
type: Item
instance of: scholarly article
title: Hilbert space representation of time evolution of pure states
zbMATH Open document ID: 0642.22006
DOI: 10.1007/BF00668775
author: Andrzej Posiewnik
published in: International Journal of Theoretical Physics
publication date: 1987-01-01T00:00:00Z
review text: Under a reasonable assumpton it is shown that the set \(Tot_ A\) of pure states of a physical system provided with the Scott information topology is homeomorphic to a subset of the Cantor discontinuum. Moreover, any ``smooth'' nonlinear time evolution with the set \(Tot_ A\) as the phase space has a linear Hilbert space representation.
Mathematics Subject Classification ID: 22E70
Mathematics Subject Classification ID: 81T08
Mathematics Subject Classification ID: 46M15
zbMATH DE Number: 4046039
zbMATH Keywords: pure states
zbMATH Keywords: Scott information topology
zbMATH Keywords: Cantor discontinuum
zbMATH Keywords: phase space
zbMATH Keywords: linear Hilbert space representation
MaRDI profile type: Publication
cites work: A note on topological linearization of locally compact transformation groups in hilbert space
cites work: On some definition of physical state
cites work: Q3959414
cites work: Q5631608
full work available at URL: https://doi.org/10.1007/bf00668775
OpenAlex ID: W1968187113
description: scientific article; zbMATH DE number 4046039