Two components relativistic quantum wave equation for scalar bosons

• URL: http://arxiv.org/abs/2602.19971v1
• Date: Mon, 23 Feb 2026 15:34:31 GMT
• Title: Two components relativistic quantum wave equation for scalar bosons
• Authors: Roland Combescot,
• Abstract summary: We show that, in the relativistic regime, scalar bosons satisfy a quantum wave equation which is quite analogous to the Dirac equation.<n>It leads in a regular way to the standard Schrdinger equation in the non-relativistic limit.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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.

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