The Madelung Picture as a Foundation of Geometric Quantum Theory

@article{Reddiger2015TheMP,
  title={The Madelung Picture as a Foundation of Geometric Quantum Theory},
  author={Maik Reddiger},
  journal={Foundations of Physics},
  year={2015},
  volume={47},
  pages={1317-1367}
}
  • Maik Reddiger
  • Published 1 September 2015
  • Physics
  • Foundations of Physics
Despite its age, quantum theory still suffers from serious conceptual difficulties. To create clarity, mathematical physicists have been attempting to formulate quantum theory geometrically and to find a rigorous method of quantization, but this has not resolved the problem. In this article we argue that a quantum theory recursing to quantization algorithms is necessarily incomplete. To provide an alternative approach, we show that the Schrödinger equation is a consequence of three partial… 

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This paper proves that this is incorrect: to recover the Schroedinger equation, one must add by hand a quantization condition, as in the old quantum theory.
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