Noncommutative minkowski space and transcendental calculus

Hideki Omori; Yoshiaki Maeda; Naoya Miyazaki; Akira Yoshioka

doi:10.1143/PTPS.171.184

Noncommutative minkowski space and transcendental calculus

Hideki Omori, Yoshiaki Maeda, Naoya Miyazaki, Akira Yoshioka

Faculty of Economics

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	184-195
Number of pages	12
Journal	Progress of Theoretical Physics Supplement
Issue number	171
DOIs	https://doi.org/10.1143/PTPS.171.184
Publication status	Published - 2007

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

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AU - Yoshioka, Akira

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Noncommutative minkowski space and transcendental calculus

Abstract

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