Quantization via Star Products | Zendy

Takayuki Hori | Zendy; T. Koikawa | Zendy

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Quantization via Star Products

Author(s) -

Takayuki Hori,

T. Koikawa

Publication year - 2003

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.110.127

Subject(s) - physics , quantization (signal processing) , harmonic oscillator , hilbert space , star product , wigner distribution function , quantum harmonic oscillator , canonical quantization , star (game theory) , quantum , mathematical physics , quantum mechanics , theoretical physics , pure mathematics , mathematics , astrophysics , quantum gravity , algorithm

We study quantization via star products. We investigate a quantization schemein which a quantum theory is described entirely in terms of the function spacewithout reference to a Hilbert space, unlike the formulation employing theWigner functions. The associative law plays an essential role in excluding theunwanted solutions to the stargen-value equation. This is demonstratedexplicitly with the $D$-dimensional harmonic oscillator.Comment: 11 page

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