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…
References
SHOWING 1-7 OF 7 REFERENCES
Generalized continuity equations from two-field Schrödinger Lagrangians
- Physics, Mathematics
- 2016
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…
Low momentum scattering in the Dirac equation
- Physics, Mathematics
- 2001
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.…
Super-Lagrangian and variational principle for generalized continuity equations
- Mathematics, PhysicsJournal 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…
Phys
- Rev. B 92, 014303
- 2015
Phys
- Rev. A 88, 033857
- 2013
Phys
- Rev. A 87, 032113
- 2013
Invariante Variationsprobleme
- Nachr. D. König. Gesellsch. D. Wiss. Zu Göttingen, Math-phys. Klasse 1918: 235–25
- 1918