Abstract
A relativistic two-particle system with an arbitrary linear combination of scalar and vector time-asymmetric Fokker-type interactions in a two-dimensional spacetime is considered within the framework of the front form of dynamics. It is shown that the corresponding mass-shell equation takes the form of a linear relation between the generators of the Lie algebra so(2,1). An algebraic quantization of the system is proposed and a closed form for the mass spectrum is obtained. The relativistic wave equation obtained by Barut and Rasmussen for the H atom is generalized to the case of an arbitrary linear combination of scalar and vector interactions. An extension of the results to the system in four-dimensional spacetime is suggested.