Quantization via Star Products
High Energy Physics - Theory
2009-11-10 v2
Abstract
We study quantization via star products. We investigate a quantization scheme in which a quantum theory is described entirely in terms of the function space without reference to a Hilbert space, unlike the formulation employing the Wigner functions. The associative law plays an essential role in excluding the unwanted solutions to the stargen-value equation. This is demonstrated explicitly with the -dimensional harmonic oscillator.
Cite
@article{arxiv.hep-th/0304082,
title = {Quantization via Star Products},
author = {Takayuki Hori and Takao Koikawa},
journal= {arXiv preprint arXiv:hep-th/0304082},
year = {2009}
}
Comments
11 pages