The asymmetric splitting of the wave operator

Emmanuel Moulay (1)

1 XLIM-SRI - Systèmes et Réseaux Intelligents

In this article, we present a new way to split the wave operator asymmetrically. We find two solutions of minimal dimension 2 involving the Pauli matrices and leading to new first-order wave equations. The physical interpretation of these new wave equations in terms of the weak interaction is discussed.

Mots clés: Dirac equation; wave operator; asymmetry

Domaines: Physique mathématique [math-ph]; Physique Quantique [quant-ph]

Emmanuel Moulay. The asymmetric splitting of the wave operator. 2021. ⟨hal-03347919⟩