Inequivalent Representation of Canonical Commutation Relations in Relation to Casimir Effect

Arai, Asao

Hokkaido University Preprint Series in Mathematics, 2018, 1118, 1-23

Permalink : https://doi.org/10.14943/85920

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アクセス権	open access
DOI	https://doi.org/10.14943/85920
URI	https://hdl.handle.net/2115/71731
タイトル	Inequivalent Representation of Canonical Commutation Relations in Relation to Casimir Effect
著者	e-Rad_Researcher 80134807 著者名 Arai, Asao 新井, 朝雄
言語	英語
キーワード	Casimir effect
	canonical commutation relations
	inequivalent representation
	Boson Fock space
	singular Bogoliubov transformation
	quantum scalar field
発行日	2018-10-23
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	1118
ページ	1-23
記述	Mathematics Subject Classiﬁcation 2010: 81R10, 47L60.
抄録	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.
資源タイプ	紀要論文
出版タイプ	Version of Record