The Moyal product is the matrix product
Mathematical Physics
2007-05-23 v2 High Energy Physics - Theory
math.MP
Quantum Algebra
Abstract
This is a short comment on the Moyal formula for deformation quantization. It is shown that the Moyal algebra of functions on the plane is canonically isomorphic to an algebra of matrices of infinite size.
Keywords
Cite
@article{arxiv.math-ph/0001039,
title = {The Moyal product is the matrix product},
author = {S. A. Merkulov},
journal= {arXiv preprint arXiv:math-ph/0001039},
year = {2007}
}
Comments
LaTeX, 5 pages; some typos corrected