Galilei invariant wave equations
type: Item
instance of: scholarly article
title: Galilei invariant wave equations
zbMATH Open document ID: 0976.81013
DOI: 10.1016/S0034-4877(00)86389-2
author: Gianni Cassinelli
author: Ernesto De Vito
author: Alberto Levrero
published in: Reports on Mathematical Physics
publication date: 2000-05-08T00:00:00Z
review text: The paper describes the quantum states of an elementary particle invariant with respect to a symmetry group as solutions of an invariant wave equation. The wave equation is defined as a family of differential operators acting on a space of vector-valued distributions over space-time. The space of the distributions carries a geometric representation of the symmetry group and the differential operators are invariant with respect to this action. For the Galilei invariant particles in 3+1 and 2+1 dimensions, the authors obtain interesting and nontrivial results.
reviewed by: Govindan Rangarajan
Mathematics Subject Classification ID: 81R20
Mathematics Subject Classification ID: 81R05
zbMATH DE Number: 1441085
zbMATH Keywords: invariant wave equations
zbMATH Keywords: Galilei invariant particles
MaRDI profile type: Publication
cites work: Sur les représentations induites des groupes de Lie
cites work: Q3844308
cites work: Finite-Dimensional Representations of Some Non-Semisimple Lie Algebras
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cites work: Nonrelativistic particles and wave equations
cites work: Q5340160
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full work available at URL: s0034-4877(00)86389-2
OpenAlex ID: W2110549128
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description: scientific article; zbMATH DE number 1441085