Orderings and non-formal deformation quantization

Hideki Omori, Yoshiaki Maeda, Naoya Miyazaki, Akira Yoshioka

    研究成果: Article査読

    16 被引用数 (Scopus)

    抄録

    We propose suitable ideas for non-formal deformation quantization of Fréchet Poisson algebras. To deal with the convergence problem of deformation quantization, we employ Fréchet algebras originally given by Gel'fand-Shilov. Ideas from deformation quantization are applied to expressions of elements of abstract algebras, which leads to a notion of "independence of ordering principle". This principle is useful for the understanding of the star exponential functions and for the transcendental calculus in non-formal deformation quantization.

    本文言語English
    ページ(範囲)153-175
    ページ数23
    ジャーナルLetters in Mathematical Physics
    82
    2-3
    DOI
    出版ステータスPublished - 2007 12

    ASJC Scopus subject areas

    • 統計物理学および非線形物理学
    • 数理物理学

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