Quantization via Star Products
arXiv:hep-th/0304082 · doi:10.1143/PTP.110.127
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.
11 pages