Incompleteness of trajectory-based interpretations of quantum mechanics

  title={Incompleteness of trajectory-based interpretations of quantum mechanics},
  author={Michael J. W. Hall},
  journal={Journal of Physics A},
  • M. Hall
  • Published 9 June 2004
  • Physics
  • Journal of Physics A
Trajectory-based approaches to quantum mechanics include the de Broglie?Bohm interpretation and Nelson's stochastic interpretation. It is shown that the usual route to establishing the validity of such interpretations, via a decomposition of the Schr?dinger equation into a continuity equation and a modified Hamilton?Jacobi equation, fails for some quantum states. A very simple example is provided by a quantum particle in a box, described by a wavefunction that is initially uniform over the… 
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