Sep 1, 2019
Singular Bogoliubov transformations and inequivalent representations of canonical commutation relations
Reviews in Mathematical Physics
- Volume
- 31
- Number
- 8
- Language
- English
- Publishing type
- Research paper (scientific journal)
- DOI
- 10.1142/S0129055X19500260
- Publisher
- 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.
- Link information
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- 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
- ID information
-
- DOI : 10.1142/S0129055X19500260
- ISSN : 0129-055X
- eISSN : 1793-6659
- SCOPUS ID : 85063148286
- Web of Science ID : WOS:000484264200003