Relativistic two-body equation based on the extension of the SL(2,C) group

Abstract

A new approach to the two-body problem based on the extension of the $SL(2,C)$ group to the $Sp(4,C)$ one is developed. The wave equation with various forms of including the interaction for the system of the spin-1/2 and spin-0 particles is constructed. For this system, it was found that the wave equation with a linear confinement potential involved in the non-minimal manner has an oscillator-like form and possesses the exact solution.

9 pages, no figures

Cited by in corpus (1)

• A new approach to the relativistic treatment of the fermion-boson system, based on the extension of the SL(2,C) group