Abstract
We solve the relativistic two-body bound state problem with O(3,1) invariant direct action potentials in the framework of a manifestly covariant canonical quantum theory. The solutions are representations of the Lorentz group in Gel'fand's principal series. The spectra and wave functions have the correct nonrelativistic limit. For the relativistic oscillator, we obtain a positive definite spectrum without subsidiary conditions or ghosts.
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