2003•Unpublished venueRequires access

A New Quantization Map

D. Mauro

Abstract

In this paper we find a simple rule to reproduce the algebra of quantum observables using only the commutators and operators which appear in the Koopman-von Neumann (KvN) formulation of classical mechanics. The usual Hilbert space of quantum mechanics becomes embedded in the KvN Hilbert space: in particular it turns out to be the subspace on which the quantum positions Q and momenta P act irreducibly. 1

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Key concepts: Observable, Mathematical formulation of quantum mechanics, Hilbert space, Quantization (signal processing), Subspace topology, SIC-POVM, Von Neumann architecture, Mathematics