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 -