A new approach to the relativistic treatment of the fermion-boson system, based on the extension of the SL(2,C) group
arXiv:0711.4511 · doi:10.1142/S0217732308027205
Abstract
A new technique for constructing the relativistic wave equation for the two-body system composed of the spin-1/2 and spin-0 particles is proposed. The method is based on the extension of the SL(2,C) group to the Sp(4,C) one. The obtained equation includes the interaction potentials, having both the Lorentz-vector and Lorentz-tensor structure, exactly describes the relativistic kinematics and possesses the correct one-particle limits. The comparison with results of other approaches to this problem is discussed.
arXiv commentv3: revised version (to appear in Mod. Phys. Lett. A)
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