2003/04/30 by Takayuki Hori, Takao Koikawa, T. Koikawa
Computer Science · Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Quantum Information and Cryptography #Quantum Mechanics and Applications #hep-th
paper · pdf · doi:10.1143/ptp.110.127
published as Prog.Theor.Phys. 110 (2003) 127-136 · 11 pages
arxiv created 2003/06/22 · openalex publication_date 2003/07/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.