Quantum mechanics in a discrete space-time
type: Item
instance of: scholarly article
title: Quantum mechanics in a discrete space-time
zbMATH Open document ID: 0586.22009
DOI: 10.1016/0034-4877(84)90030-2
published in: Reports on Mathematical Physics
publication date: 1984-01-01T00:00:00Z
review text: The formulation of finite quantum mechanics goes back to H. Weyl. Here it is applied to a discrete lattice space considered as an abelian group. Mackey's theory of quantum kinematics on homogeneous spaces is used. A Galilean dynamics on such a discrete homogeneous space is introduced.
Mathematics Subject Classification ID: 22E70
Mathematics Subject Classification ID: 81T08
zbMATH DE Number: 3939606
zbMATH Keywords: space-time
zbMATH Keywords: infinite abelian group
zbMATH Keywords: finite Galilei group
zbMATH Keywords: finite quantum mechanics
zbMATH Keywords: discrete lattice space
zbMATH Keywords: discrete homogeneous space
author: P. Št'ovíček
author: J. Tolar
reviewed by: A. O. Barut
MaRDI profile type: Publication
full work available at URL: 0034-4877(84)90030-2
OpenAlex ID: W2132738962
cites work: Rotation and Lorentz Groups in a Finite Geometry
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cites work: Limitable Dynamical Groups in Quantum Mechanics. I. General Theory and a Spinless Model
description: scientific article; zbMATH DE number 3939606