A New Quantization Map

Details A New Quantization Map A New Quantization Map

2003-05-12

arxiv.org/abs/quant-ph/0305063v1

Phys.Lett. A315 (2003) 28-35

Physics

Quantum Physics

12 pages, 1 figure, Latex

Scientific paper

10.1016/S0375-9601(03)00996-4

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.

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