著者

Arai Asao

出版者

京都大学数理解析研究所

雑誌

数理解析研究所講究録 (ISSN:18802818)

巻号頁・発行日

vol.2123, pp.101-117, 2019-08

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The Casimir effect in the case of a quantum scalar field is considered in view of representation theory of canonical commutation relations (CCR) with infinite degrees of freedom. It is shown that a very singular irreducible representation of the CCR over an inner product space mathscr{E} is associated with the Casimir effect and it is inequivalent to the Fock representation ofthe CCR over mathscr{E}.