Deformation Expression for Elements of Algebras (IV) --Matrix elements and related integrals--
Mathematical Physics
2011-09-02 v1 math.MP
Abstract
In this note, we mainly consider the extended Weyl algebra of two generators (u,v), that is, the algebra generated by u,v with the fundamental commutation relation. Weyl algebra is realized on the space of polynomials of u and v by defining various product depending on a symmetric matrix K called the expression parameter. Via such expressions and ordinary calculus one can treat various transcendental elements such as *-exponential functions and elements obtained by integrations.
Cite
@article{arxiv.1109.0082,
title = {Deformation Expression for Elements of Algebras (IV) --Matrix elements and related integrals--},
author = {Hideki Omori and Yoshiaki Maeda and Naoya Miyazaki and Akira Yoshioka},
journal= {arXiv preprint arXiv:1109.0082},
year = {2011}
}