Quantum particles from coarse grained classical probabilities in phase space

Mar, 2010
19 pages
Published in:
  • Annals Phys. 325 (2010) 1359-1389
e-Print:

Citations per year

20092013201720212024150
Abstract: (arXiv)
Quantum particles can be obtained from a classical probability distribution in phase space by a suitable coarse graining, whereby simultaneous classical information about position and momentum can be lost. For a suitable time evolution of the classical probabilities and choice of observables all features of a quantum particle in a potential follow from classical statistics. This includes interference, tunneling and the uncertainty relation.
Note:
  • 19 pages
  • 03.65.Ta
  • 03.65.-w
  • 05.30.-d