Ultracoherence in Bose algebras
type: Item
instance of: scholarly article
title: Ultracoherence in Bose algebras
zbMATH Open document ID: 0679.46061
DOI: 10.1016/0196-8858(88)90020-6
author: Yanyan Li
published in: Advances in Applied Mathematics
publication date: 1988-01-01T00:00:00Z
review text: Some calculus involving creation and annihilation operators on a Fock space is provided and used to formalize in terms of an explicit formula some of standard results about quasifree states in terms of what the author calls ultracoherent vectors (Section 2), projective representation of the metaplectic group by Bogoliubov transformations (Theorem 3B3), the real wave representation of Segal (Theorem 4C1), Markovian semigroups in the normal-ordered form, and the explosion of the counting process (Section 6).
Mathematics Subject Classification ID: 46N99
Mathematics Subject Classification ID: 81R30
Mathematics Subject Classification ID: 81T99
Mathematics Subject Classification ID: 81R10
Mathematics Subject Classification ID: 81P20
zbMATH DE Number: 4113321
zbMATH Keywords: ultracoherence in Bose algebras
zbMATH Keywords: normal ordered form
zbMATH Keywords: creation and annihilation operators on a Fock space
zbMATH Keywords: quasifree states
zbMATH Keywords: ultracoherent vectors
zbMATH Keywords: projective representation of the metaplectic group by Bogoliubov transformations
zbMATH Keywords: real wave representation of Segal
zbMATH Keywords: Markovian semigroups in the normal-ordered form
zbMATH Keywords: explosion of the counting process
reviewed by: Huzihiro Araki
MaRDI profile type: Publication
full work available at URL: 0196-8858(88)90020-6
OpenAlex ID: W2112899169
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description: scientific article; zbMATH DE number 4113321