Do different deformations lead to the same spectrum?
type: Item
instance of: scholarly article
title: Do different deformations lead to the same spectrum?
zbMATH Open document ID: 0617.58041
DOI: 10.1016/0393-0440(85)90018-X
author: Michel Cahen
author: Simone Gutt
author: Moshé Flato
author: Daniel Sternheimer
published in: Journal of Geometry and Physics
publication date: 1985-01-01T00:00:00Z
review text: The procedure of * quantization introduces the notions of mathematical equivalence and of * spectrum. We prove that mathematical equivalence, as a change of ordering for quantum operators to which it is related, does not preserve * spectrum unless it reduces to an automorphism of the * product. Suggestions about the ''correct'' choice of * products are made.
Mathematics Subject Classification ID: 58Z05
Mathematics Subject Classification ID: 58J50
Mathematics Subject Classification ID: 81Q99
zbMATH DE Number: 4001057
zbMATH Keywords: * quantization
zbMATH Keywords: * spectrum
zbMATH Keywords: quantum operators
MaRDI profile type: Publication
cites work: Q3241211
cites work: Deformation theory and quantization. II: Physical applications
cites work: Invariant *-product quantization of the one-dimensional Kepler problem
cites work: On the deformation of rings and algebras
cites work: An explicit *-product on the cotangent bundle of a Lie group
cites work: Sur les algèbres formelles associees par déformation à une variété symplectique
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description: scientific article; zbMATH DE number 4001057