Quantization via Star Products
Takayuki Hori, Takao Koikawa
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 D-dimensional harmonic oscillator.
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