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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={Angelos Katsaris and Panayotis A. Kalozoumis and Fotis K. 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… Expand

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… Expand

It is shown that the amplitude for reflection of a Dirac particle with arbitrarily low momentum incident on a potential of finite range is −1 and hence the transmission coefficient T = 0 in general.… Expand

Journal of Physics A: Mathematical and Theoretical

2019

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… Expand