Algebraic machinery of quantization
Quantum Physics
2025-10-23 v2 Mathematical Physics
math.MP
Abstract
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.
Cite
@article{arxiv.2509.17106,
title = {Algebraic machinery of quantization},
author = {Hendry M. Lim},
journal= {arXiv preprint arXiv:2509.17106},
year = {2025}
}
Comments
12 pages, 1 theorem. Major rewrite for clarity and technical focus. Main result unchanged; philosophical discussions removed