TY - JOUR

T1 - Supersymmetric relativistic quantum mechanics in time-domain

AU - Asenjo, Felipe A.

AU - Hojman, Sergio A.

AU - Moya-Cessa, Héctor M.

AU - Soto-Eguibar, Francisco

N1 - Publisher Copyright:
© 2022 Elsevier B.V.

PY - 2022/10/31

Y1 - 2022/10/31

N2 - 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.

AB - 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.

KW - Neutrino oscillation

KW - Supersymmetry

KW - Time-domain

UR - http://www.scopus.com/inward/record.url?scp=85136271917&partnerID=8YFLogxK

U2 - 10.1016/j.physleta.2022.128371

DO - 10.1016/j.physleta.2022.128371

M3 - Article

AN - SCOPUS:85136271917

SN - 0375-9601

VL - 450

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

M1 - 128371

ER -