The Madelung Picture as a Foundation of Geometric Quantum Theory

  title={The Madelung Picture as a Foundation of Geometric Quantum Theory},
  author={Maik Reddiger},
  journal={Foundations of Physics},
  • 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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  • Wallstrom
  • Physics
    Physical review. A, Atomic, molecular, and optical physics
  • 1994
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.