著者

Izumiya Shyuichi

雑誌

Hokkaido University Preprint Series in Mathematics

巻号頁・発行日

vol.136, pp.2-6, 1992-02

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.

著者

Cho Yonggeun Ozawa Tohru Shim Yong-Sun

雑誌

Hokkaido University Preprint Series in Mathematics

巻号頁・発行日

no.876, pp.1-20, 2007

著者

Arase T

雑誌

Hokkaido University Preprint Series in Mathematics

巻号頁・発行日

vol.393, pp.1-10, 1997-10-01

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The set P* (I) of finite multisets on a set J has a natural quantale structure. In this note we study the quantic nuclei of this quantale, and show that they are parametrized by those subsets of the infinite multisets P** (I) whose elements are mutually uncomparable. We also study the quantic nuclei of another natural quantale structure on P*(I) with respect to the opposite order.

著者

平塚倖太

雑誌

Hokkaido University Preprint Series in Mathematics

巻号頁・発行日

vol.1069, pp.1-47, 2015-03-24

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非線形な力学系では、単純な規則から複雑なフラクタル構造をもつ幾何的対象物が生成される。それでは、それを目の前のコンピュータスクリーン上で見ることは可能であるか。これは一見単純そうな問題であるが、奥深い事実が隠されていることを近年の研究は明らかにした。本論文では実力学系、複素力学系、計算理論の基礎を紹介し、複素力学系のジュリア集合の計算可能性と複雑性についての事実をまとめる[17]。