Equal-time relativistic two-body equations

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Abstract
A systematic study of the equal-time Hamiltonian two-body differential equations is presented, for all combinations of spinless and Dirac particles. Components with 'mixed' indices are eliminated in a new way. A new radial variable r' is introduced which reduces the equations to simpler 'quasipotential equations' which in some cases have exact solutions. A nonzero total momentum and a constant magnetic field are also discussed.