On Koopman-von Neumann Waves II

Details On Koopman-von Neumann Waves II On Koopman-von Neumann Waves II

2003-06-04

arxiv.org/abs/quant-ph/0306029v2

Int.J.Mod.Phys. A19 (2004) 1475-1494

Physics

Quantum Physics

18+1 pages, 1 figure, misprints fixed

Scientific paper

10.1142/S0217751X04017872

In this paper we continue the study, started in [1], of the operatorial formulation of classical mechanics given by Koopman and von Neumann (KvN) in the Thirties. In particular we show that the introduction of the KvN Hilbert space of complex and square integrable "wave functions" requires an enlargement of the set of the observables of ordinary classical mechanics. The possible role and the meaning of these extra observables is briefly indicated in this work. We also analyze the similarities and differences between non selective measurements and two-slit experiments in classical and quantum mechanics.

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