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arXiv · 2012.11024

Supersymmetric relativistic quantum mechanics in time-domain

Felipe A. Asenjo·Sergio A. Hojman·Héctor M. Moya-Cessa·Francisco Soto-Eguibar
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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.

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Felipe A. Asenjo, Sergio A. Hojman, Héctor M. Moya-Cessa, Francisco Soto-Eguibar. 2020-12-20. Supersymmetric relativistic quantum mechanics in time-domain. https://doi.org/10.1016/j.physleta.2022.128371

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