Bogolubov transformations and completeness
type: Item
instance of: scholarly article
title: Bogolubov transformations and completeness
zbMATH Open document ID: 0653.35081
DOI: 10.1007/BF00760094
author: Tevian Dray
author: Corinne A. Manogue
published in: General Relativity and Gravitation
publication date: 1988-01-01T00:00:00Z
review text: Two complete sets of complex orthonormal basis functions in a vector space can be related to each other by linear transformations (Bogolyubov transformations) whose coefficients satisfy certain relations. It is pointed out here by some counterexamples that, conversely, these relations by themselves are not sufficient that one basis set can be expanded in terms of the other.
Mathematics Subject Classification ID: 35Q99
Mathematics Subject Classification ID: 35A30
zbMATH DE Number: 4065559
zbMATH Keywords: vector spaces
zbMATH Keywords: field theory
zbMATH Keywords: Bogolyubov transformations
reviewed by: A. O. Barut
MaRDI profile type: Publication
cites work: Quantum Fields in Curved Space
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description: scientific article; zbMATH DE number 4065559