Supersymmetric relativistic quantum mechanics in time-domain
Quantum Physics
2022-08-26 v3
Abstract
A supersymmetric relativistic quantum theory in the temporal domain is developed for bi-spinor fields satisfying the Dirac equation. The simplest time-domain supersymmetric theory can be postulated for fields with time-dependent mass, showing an equivalence with the bosonic supersymmetric theory in time-domain. Solutions are presented and they are used to produce probability oscillations between mass states. As an application of this idea, we study the two-neutrino oscillation problem, showing that flavour state oscillations may emerge from the supersymmetry originated by the time-dependence of the unique mass of the neutrino.
Keywords
Cite
@article{arxiv.2012.11024,
title = {Supersymmetric relativistic quantum mechanics in time-domain},
author = {Felipe A. Asenjo and Sergio A. Hojman and Héctor M. Moya-Cessa and Francisco Soto-Eguibar},
journal= {arXiv preprint arXiv:2012.11024},
year = {2022}
}