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

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}.