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Singular Bogoliubov transformations and inequivalent representations of canonical commutation relations
| Title: | Singular Bogoliubov transformations and inequivalent representations of canonical commutation relations |
| Authors: | Arai, Asao Browse this author →KAKEN DB |
| Keywords: | Singular Bogoliubov transformation | | canonical commutation relations | | inequivalent representation | | boson Fock space |
| Issue Date: | Sep-2019 |
| Publisher: | World Scientific |
| Journal Title: | Reviews in Mathematical Physics |
| Volume: | 31 |
| Issue: | 08 |
| Start Page: | 1950026 |
| Publisher DOI: | 10.1142/S0129055X19500260 |
| Abstract: | 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. |
| Rights: | Electronic version of an article published as Reviews in Mathematical Physics, Vol. 31, No. 08, 1950026 (2019), https://doi.org/10.1142/S0129055X19500260 ©copyright World Scientific Publishing Company, https://www.worldscientific.com/worldscinet/rmp |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/79187 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 新井 朝雄
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