Star exponential functions as two-valued elements
Hideki Omori, Yoshiaki Maeda, Naoya Miyazaki, Akira Yoshioka
TL;DR
This paper introduces the concept of two-valued elements in the context of star exponential functions of quadratics in the Weyl algebra, providing a new framework for understanding their algebraic structure.
Contribution
It proposes a novel notion of two-valued elements that naturally arise in the construction of star exponential functions of quadratics in the Weyl algebra.
Findings
Introduction of two-valued elements in Weyl algebra
Description of group-like structures of star exponential functions
Framework for algebraic analysis of star exponentials
Abstract
We propose a relatively new notion of two-valued elements, which arises naturally in constructing the star exponential functions of the quad-ratics in the Weyl algebra over the complex number field. This notion enables us to describe the group like objects of the set of star exponential functions of quadratics in the Weyl algebra.
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Taxonomy
TopicsMathematics and Applications