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

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

2007-01-30

arxiv.org/abs/hep-th/0701271v1

Phys.Lett.B644:311-314,2007

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, no figures

Scientific paper

10.1016/j.physletb.2006.11.068

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.

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