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Quantization via Star Products

Takayuki Hori·Takao Koikawa
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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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Takayuki Hori, Takao Koikawa. 2003-06-22. Quantization via Star Products. https://doi.org/10.1143/ptp.110.127

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