Abstract
We study bound-state solutions to the Kadyshevsky equation in relativistic space. We first show that, for the Coulomb interaction in the unequal-mass case, bound states of arbitrarily small energy may exist, provided the coupling constant is large enough. In the static limit, we show that infinitely deep bound states may occur for very general forms of the interaction as the coupling becomes infinite. In both cases, our results for the Coulomb interaction are similar to those obtained from different approaches (infinite-component wave equation or modified Dirac-Coulomb Hamiltonian).
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