The Deformation Quantization of $\Real^n$ via the specifiaction of the commutators
Abstract
Description
In a deformation quantization of $\Real^n$, 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 $\Real^n$? 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.
14 pages, no figures. Permanent address: j@gratus.net www.gratus.net
14 pages, no figures. Permanent address: j@gratus.net www.gratus.net