Implementing symmetries of a free Bose field via white noise operators
type: Item
instance of: scholarly article
title: Implementing symmetries of a free Bose field via white noise operators
zbMATH Open document ID: 1027.60055
author: Shunlong Luo
publication date: 2004-01-14T00:00:00Z
review text: Linear symmetries of a free Bose field are exploited in the framework of Hida's white noise functional triple. General symplectic automorphisms on the particle space are implemented by generalized operators. The intertwining operators are constructed in a physically intuitive way, characterized analytically in terms of symbols, and factorized into three fundamental parts according to Wick ordering procedure. In particular, the classical Shale's theorem is rederived.
reviewed by: Zagorka Lozanov-Crvenković
Mathematics Subject Classification ID: 60H07
Mathematics Subject Classification ID: 81R10
Mathematics Subject Classification ID: 81T05
zbMATH DE Number: 1921185
zbMATH Keywords: free Bose field
zbMATH Keywords: symplectic automorphism
zbMATH Keywords: Gaussian kernel operators
MaRDI profile type: Publication
full work available at URL: s10114-002-0197-3
OpenAlex ID: W2321422560
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DOI: 10.1007/S10114-002-0197-3
published in: Acta Mathematica Sinica, English Series
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description: scientific article; zbMATH DE number 1921185