Algebraic machinery of quantization

Fuente: arXiv
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Main Author: Lim, Hendry M.
Format: Preprint
Published: 2025
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author Lim, Hendry M.
author_facet Lim, Hendry M.
contents We present the explicit form of the "hatted star product" within the Cahill-Glauber correspondence framework, which is a commutative mapping of two Hilbert space operators that encodes the quantization prescription. It serves as the structural mirror to the star product, which encodes the noncommutative nature of quantum mechanics in phase space.
format Preprint
id arxiv_https___arxiv_org_abs_2509_17106
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Algebraic machinery of quantization
Lim, Hendry M.
Quantum Physics
Mathematical Physics
We present the explicit form of the "hatted star product" within the Cahill-Glauber correspondence framework, which is a commutative mapping of two Hilbert space operators that encodes the quantization prescription. It serves as the structural mirror to the star product, which encodes the noncommutative nature of quantum mechanics in phase space.
title Algebraic machinery of quantization
topic Quantum Physics
Mathematical Physics
url https://arxiv.org/abs/2509.17106