Orderings and non-formal deformation quantization

Hideki Omori, Yoshiaki Maeda, Naoya Miyazaki, Akira Yoshioka

研究成果: Article

14 引用 (Scopus)

抜粋

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.

元の言語English
ページ(範囲)153-175
ページ数23
ジャーナルLetters in Mathematical Physics
82
発行部数2-3
DOI
出版物ステータスPublished - 2007 12 1

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ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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