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Algebraic machinery of quantization
Hendry M. Lim·September 21, 2025
Quantum PhysicsMathematical Physics
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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.