Quantization via Star Products

Details Quantization via Star Products Quantization via Star Products

2003-04-09

arxiv.org/abs/hep-th/0304082v2

Prog.Theor.Phys. 110 (2003) 127-136

Physics

High Energy Physics

High Energy Physics - Theory

11 pages

Scientific paper

10.1143/PTP.110.127

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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