論文

査読有り
2019年9月1日

Singular Bogoliubov transformations and inequivalent representations of canonical commutation relations

Reviews in Mathematical Physics
  • Asao Arai

31
8
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1142/S0129055X19500260
出版者・発行元
WORLD SCIENTIFIC PUBL CO PTE LTD

© 2019 World Scientific Publishing Company. We introduce a concept of singular Bogoliubov transformation on the abstract boson Fock space and construct a representation of canonical commutation relations (CCRs) which is inequivalent to any direct sum of the Fock representation. Sufficient conditions for the representation to be irreducible are formulated. Moreover, an example of such representations of CCRs is given.


リンク情報
DOI
https://doi.org/10.1142/S0129055X19500260
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000484264200003&DestApp=WOS_CPL
Scopus
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85063148286&origin=inward
Scopus Citedby
https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=85063148286&origin=inward

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