Two components relativistic quantum wave equation for scalar bosons

We show that, in the relativistic regime, scalar bosons satisfy a quantum wave equation which is quite analogous to the Dirac equation. In contrast with the Klein-Gordon equation it is first order with respect to time derivation. It leads in a regular way to the standard Schrödinger equation in the non-relativistic limit. There are two components for the wave function in this representation for the scalar boson, in a way completely analogous to the four components for the spin $1/2$ fermion in the Dirac equation.

Source: arXiv:2602.19971v1 - http://arxiv.org/abs/2602.19971v1 PDF: https://arxiv.org/pdf/2602.19971v1 Original Link: http://arxiv.org/abs/2602.19971v1