English

Deformation Expression for Elements of Algebras (III) --Generic product formula for *-exponentials of quadratic forms--

Mathematical Physics 2011-07-14 v1 math.MP

Abstract

In a noncommutative algebra there is no canonical way to express elements in univalent way, which is often called "ordering problem". In this note we give product formula of the Weyl algebra in generic ordered expression. In particular, the generic product formula of *-exponential functions of quadratic forms will be given.

Keywords

Cite

@article{arxiv.1107.2474,
  title  = {Deformation Expression for Elements of Algebras (III) --Generic product formula for *-exponentials of quadratic forms--},
  author = {Hideki Omori and Yoshiaki Maeda and Naoya Miyazaki and Akira Yoshioka},
  journal= {arXiv preprint arXiv:1107.2474},
  year   = {2011}
}