de Broglie-Bohms Pilot Wave Theory to Determine Photon Trajectories in a System of Two Twisted Slits.

  1. 1Institute of Physics, Goethe University Frankfurt
  2. 2Institute of Physics, Faculty of Engineering, Universidad de la República de Uruguay (Uruguay)
  3. 3Department of Physics, Xavier University (USA)

requalivahanus (at) t-online.de

The unbeloved pilot wave theory of D.Bohm claims to be able to determine trajectories of quantum particles from the Schrödinger equation and the gradient - or fall-line - of an Eikonal ansatz as a solution. We try to apply this theory to the solution of a Huygens elementary wave theory we have explored previously [DGaO Proceedings] and find that it leads to the classical particle (photon) paths of a momentum conservation model and the geodesics on the surface of stationary phase of the system, but fails, if we apply it to the surface of the stationary phase after integration over "all paths" itself.

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@inproceedings{dultz2025p1,
  author     = {Dultz, Wolfgang and Frins, Erna and Hils, Bernd and Schmitzer, Heidrun},
  title      = {{de Broglie-Bohms Pilot Wave Theory to Determine Photon Trajectories in a System of Two Twisted Slits.}},
  booktitle  = {DGaO-Proceedings 2025},
  series     = {DGaO-Proceedings},
  eventtitle = {126. Jahrestagung der DGaO},
  eventdate  = {2025-06-11/2025-06-14},
  venue      = {Stuttgart},
  publisher  = {Deutsche Gesellschaft für angewandte Optik e.V.},
  year       = {2025},
  pages      = {P1},
  langid     = {english},
  url        = {https://dgao-proceedings.de/paper/126-p1}
}
126. Annual Conference of the DGaO · Stuttgart · 2025