A canonical dilation of the Schrödinger equation

  title={A canonical dilation of the Schr{\"o}dinger equation},
  author={M. F. Brown},
  journal={Russian Journal of Mathematical Physics},
  pages={316 - 325}
  • M. F. Brown
  • Published 1 July 2014
  • Mathematics, Physics
  • Russian Journal of Mathematical Physics
In this paper we shall re-visit the well-known Schrödinger equation of quantum mechanics. However, this shall be realized as a marginal dynamics of a more general, underlying stochastic counting process in a complex Minkowski space. One of the interesting things about this formalism is that its derivation has very deep roots in a new understanding of the differential calculus of time. This Minkowski-Hilbert representation of quantum dynamics is called the Belavkin formalism; a beautiful, but… 



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