Solution of a relativistic quasipotential wave equation for a two-body bound state

We give a short derivation of a relativistic two-body bound-state quasipotential integral equation the kernel of which is symmetric, fully continuous, and positive definite. We discuss a numerical solution of the eigenvalue problem based on the analytical structure of the kernel. We have found the first 50 approximate eigenvalues and the corresponding eigenfunctions. We have also estimated the error in the numerical calculation. We give a graphical representation of the first four eigenfunctions