Generalized continuity equations from two-field Schrödinger Lagrangians

@article{Spourdalakis2016GeneralizedCE,
  title={Generalized continuity equations from two-field Schr{\"o}dinger Lagrangians},
  author={Aris G.B. Spourdalakis and George Pappas and C. V. Morfonios and Panayotis A. Kalozoumis and Fotis K. Diakonos and Peter Schmelcher},
  journal={Physical Review A},
  year={2016},
  volume={94},
  pages={052122}
}
A variational scheme for the derivation of generalized, symmetry-induced continuity equations for Hermitian and non-Hermitian quantum mechanical systems is developed. We introduce a Lagrangian which involves two complex wave fields and whose global invariance under dilation and phase variations leads to a mixed continuity equation for the two fields. In combination with discrete spatial symmetries of the underlying Hamiltonian, the mixed continuity equation is shown to produce bilocal… 

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