A New Quantization Map

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.

12 pages, 1 figure, Latex

References in corpus (1)

• A Proposal for a Differential Calculus in Quantum Mechanics

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