Relativistic Feshbach-Villars Equation for Two Spin-$0$ Particles
Z. Papp
TL;DR
This paper extends the Feshbach-Villars relativistic quantum mechanics framework to two spin-0 particles, deriving an equation that separates the center-of-mass motion in two-body systems.
Contribution
It introduces a Feshbach-Villars-type equation for two spin-0 particles, enabling analysis of relativistic two-body systems with separated center-of-mass motion.
Findings
Derived a relativistic two-body equation in Feshbach-Villars form.
Separated center-of-mass motion from relative coordinates.
Provides a basis for further relativistic two-particle studies.
Abstract
The Feshbach-Villars version of the relativistic quantum mechanics can be extended for two-body systems in such a way that the center-of-mass motion is separated off. The procedure results in an equation of Feshbach-Villars-type in terms of the relative coordinate.
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