著者

Arai Asao

出版者

Department of Mathematics, Hokkaido University

雑誌

Hokkaido University Preprint Series in Mathematics

巻号頁・発行日

vol.1118, pp.1-23, 2018-10-23

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It is shown that an irreducible representation of the CCR over a dense subspace of a boson Fock space is associated with a quantum system whose space configuration may give rise to Casimir effect in the context of a quantum scalar field and that it is inequivalent to the Fock representation of the same CCR. A quantum scalar field is constructed from the representation. A new feature of the analysis is to treat a singular Bogoliubov transformation, which is different from the usual bosonic Bogoliubov transformation and from which the inequivalent irreducible representation of the CCR is constructed.