The Deformation Quantization of $\Real^n$ via the specifiaction of the commutators
Quantum Algebra
2007-05-23 v1 Mathematical Physics
math.MP
Symplectic Geometry
Abstract
In a deformation quantization of , the Jacobi identity is automatically satisfied. This article poses the contrary question: Given a set of commutators which satisfies the Jacobi identity, is the resulting associative algebra a deformation quantization of ? It is shown that the result is true. However care must taken when stating precisely how and in which algebra the Jacobi identity is satisfied.
Cite
@article{arxiv.math/0411581,
title = {The Deformation Quantization of $\Real^n$ via the specifiaction of the commutators},
author = {Jonathan Gratus},
journal= {arXiv preprint arXiv:math/0411581},
year = {2007}
}
Comments
14 pages, no figures. Permanent address: [email protected] www.gratus.net