Super-Lagrangian and variational principle for generalized continuity equations

  title={Super-Lagrangian and variational principle for generalized continuity equations},
  author={Fotis K. Diakonos and Peter Schmelcher},
  journal={Journal of Physics A: Mathematical and Theoretical},
  • F. Diakonos, P. Schmelcher
  • Published 7 November 2018
  • Mathematics, Physics
  • Journal of Physics A: Mathematical and Theoretical
We present a variational approach which shows that the wave functions belonging to quantum systems in different potential landscapes, are pairwise linked to each other through a generalized continuity equation. This equation contains a source term proportional to the potential difference. In case the potential landscapes are related by a linear symmetry transformation in a finite domain of the embedding space, the derived continuity equation leads to generalized currents which are divergence… 

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