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Supersymmetric relativistic quantum mechanics in time-domain

arXiv
Authors: Felipe A. Asenjo, Sergio A. Hojman, Héctor M. Moya-Cessa, Francisco Soto-Eguibar

Year

2020

Paper ID

18250

Status

Preprint

Abstract Read

~2 min

Abstract Words

88

Citations

N/A

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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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • A supersymmetric relativistic quantum theory in the temporal domain is developed for bi-spinor fields satisfying the Dirac equation.

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