• Corpus ID: 232076545

Generalized Continuity Equations for Schr\"odinger and Dirac Equations

@inproceedings{Katsaris2021GeneralizedCE,
  title={Generalized Continuity Equations for Schr\"odinger and Dirac Equations},
  author={A. Katsaris and P. Kalozoumis and F. Diakonos},
  year={2021}
}
The concept of the generalized continuity equation (GCE) was recently introduced in [J. Phys. A: Math. and Theor. 52, 1552034 (2019)], and was derived in the context of N independent Schrödinger systems. The GCE is induced by a symmetry transformation which mixes the states of these systems, even though the N -system Lagrangian does not. As the N -system Schrödinger Lagrangian is not invariant under such a transformation, the GCE will involve source terms which, under certain conditions vanish… 

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