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Canonical quantization of a product within the Cahill-Glauber correspondence

2025/09/21 by Lim, Hendry M.
Engineering · Physics and Astronomy · #Astro and Planetary Science #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Physics (quant-ph) #Spacecraft Dynamics and Control #Stellar, planetary, and galactic studies

paper · pdf · doi:10.48550/arxiv.2509.17106

openalex publication_date 2025/09/21 · openalex created_date 2025/10/02 · openalex updated_date 2026/07/30

Abstract

The (canonical) quantization of a product of two phase-space functions can be expressed as a commutative mapping between the quantizations of its factors. In this work, we present the differential form of such a mapping within the Cahill-Glauber s-parameterized correspondence framework. We term this mapping the ``hatted star product'' by virtue of its structural similarity to the star product in phase space, a special case of which is the celebrated Moyal star product.

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