Orderings and non-formal deformation quantization

Hideki Omori, Yoshiaki Maeda, Naoya Miyazaki, Akira Yoshioka

研究成果: Article

13 引用 (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.

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

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Deformation Quantization
algebra
Abstract algebra
Poisson Algebra
Transcendental
exponential functions
calculus
Star
Calculus
gels
stars
Algebra

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics
  • Mathematical Physics

これを引用

Orderings and non-formal deformation quantization. / Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira.

:: Letters in Mathematical Physics, 巻 82, 番号 2-3, 12.2007, p. 153-175.

研究成果: Article

Omori, Hideki ; Maeda, Yoshiaki ; Miyazaki, Naoya ; Yoshioka, Akira. / Orderings and non-formal deformation quantization. :: Letters in Mathematical Physics. 2007 ; 巻 82, 番号 2-3. pp. 153-175.
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