Classical mechanics as nonlinear quantum mechanics

Jul, 2007
7 pages
Published in:
  • AIP Conf.Proc. 962 (2007) 1, 162-167
Contribution to:
  • Published: Dec 3, 2007
e-Print:

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Abstract: (AIP)
All measurable predictions of classical mechanics can be reproduced from a quantum‐like interpretation of a nonlinear Schrödinger equation. The key observation leading to classical physics is the fact that a wave function that satisfies a linear equation is real and positive, rather than complex. This has profound implications on the role of the Bohmian classical‐like interpretation of linear quantum mechanics, as well as on the possibilities to find a consistent interpretation of arbitrary nonlinear generalizations of quantum mechanics.
Note:
  • 7 pages, invited talk given at conference Quantum Theory: Reconsideration of Foundations 4, Vaxjo, Sweden, June 11-16, 2007
  • 03.65.Ta
  • 03.65.Ge
  • 05.20.-y
  • quantum theory
  • classical mechanics
  • Schrodinger equation