Supersymmetric relativistic quantum mechanics in time-domain

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

doi:10.1016/j.physleta.2022.128371

Supersymmetric relativistic quantum mechanics in time-domain

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

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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.

Original language	English
Article number	128371
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	450
DOIs	https://doi.org/10.1016/j.physleta.2022.128371
State	Published - 31 Oct 2022
Externally published	Yes

Keywords

Neutrino oscillation
Supersymmetry
Time-domain

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10.1016/j.physleta.2022.128371

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title = "Supersymmetric relativistic quantum mechanics in time-domain",

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 = "Neutrino oscillation, Supersymmetry, Time-domain",

author = "Asenjo, \{Felipe A.\} and Hojman, \{Sergio A.\} and Moya-Cessa, \{H{\'e}ctor M.\} and Francisco Soto-Eguibar",

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doi = "10.1016/j.physleta.2022.128371",

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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

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 - https://www.scopus.com/pages/publications/85136271917

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 -

Supersymmetric relativistic quantum mechanics in time-domain

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Keywords

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