JournalsprimsVol. 7, No. 1pp. 105–120

On Quasifree States of the Canonical Commutation Relations (I)

  • Huzihiro Araki

    Kyoto University, Japan
  • Masafumi Shiraishi

    Kyoto University, Japan
On Quasifree States of the Canonical Commutation Relations (I) cover
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Abstract

A self-dual CCR algebra is defined and arbitrary quasifree state is realized in a Fock type representation of another self-dual CCR algebra of a double size as a preparation for a study of quasi-equivalence of quasifree states.

Cite this article

Huzihiro Araki, Masafumi Shiraishi, On Quasifree States of the Canonical Commutation Relations (I). Publ. Res. Inst. Math. Sci. 7 (1971), no. 1, pp. 105–120

DOI 10.2977/PRIMS/1195193785