HUSCAP logo Hokkaido Univ. logo

Hokkaido University Collection of Scholarly and Academic Papers >
Graduate School of Science / Faculty of Science >
Hokkaido University Preprint Series in Mathematics >

Inequivalent Representation of Canonical Commutation Relations in Relation to Casimir Effect

Files in This Item:
InequivalentRepre.pdf164.85 kBPDFView/Open
Please use this identifier to cite or link to this item:http://doi.org/10.14943/85920

Title: Inequivalent Representation of Canonical Commutation Relations in Relation to Casimir Effect
Authors: Arai, Asao1 Browse this author →KAKEN DB
Authors(alt): 新井, 朝雄1
Keywords: Casimir effect
canonical commutation relations
inequivalent representation
Boson Fock space
singular Bogoliubov transformation
quantum scalar field
Issue Date: 23-Oct-2018
Publisher: Department of Mathematics, Hokkaido University
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 1118
Start Page: 1
End Page: 23
Abstract: 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.
Description: Mathematics Subject Classification 2010: 81R10, 47L60.
Type: bulletin (article)
URI: http://hdl.handle.net/2115/71731
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

Export metadata:

OAI-PMH ( junii2 , jpcoar )


 

Feedback - Hokkaido University