Noncommutative minkowski space and transcendental calculus

Hideki Omori, Yoshiaki Maeda, Naoya Miyazaki, Akira Yoshioka

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Appropriate choice of ordered expressions of the Weyl algebra provides us a useful transcendental calculus [Ref. 14)]. Analysing star exponential functions of quadratic forms leads us matrix representations naturally. We develop a previous calculus in Ref. 14) to construct an ordered Lie group with an adjoint invariant Lorentz metric and various interesting matrix representations according to orderings.

Original languageEnglish
Pages (from-to)184-195
Number of pages12
JournalProgress of Theoretical Physics Supplement
Issue number171
Publication statusPublished - 2007

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Minkowski space
calculus
exponential functions
matrices
algebra
stars

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Noncommutative minkowski space and transcendental calculus. / Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira.

In: Progress of Theoretical Physics Supplement, No. 171, 2007, p. 184-195.

Research output: Contribution to journalArticle

Omori, Hideki ; Maeda, Yoshiaki ; Miyazaki, Naoya ; Yoshioka, Akira. / Noncommutative minkowski space and transcendental calculus. In: Progress of Theoretical Physics Supplement. 2007 ; No. 171. pp. 184-195.
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