ON KOOPMAN–VON NEUMANN WAVES II

@article{Mauro2001ONKN,
  title={ON KOOPMAN–VON NEUMANN WAVES II},
  author={D. Mauro},
  journal={International Journal of Modern Physics A},
  year={2001},
  volume={17},
  pages={1475-1493}
}
  • D. Mauro
  • Published 23 May 2001
  • Physics, Mathematics
  • International Journal of Modern Physics A
In this paper, we continue the study started in Ref. 1, of the operatorial formulation of classical mechanics given by Koopman and von Neumann (KvN) in the 1930s. 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… 

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