An exact analytical treatment is presented, in the momentum space, for the one-dimensional spinless Salpeter equation describing two particles with unequal masses interacting via a Coulomb-type potential. We derive the exact energy equation for bound states and work out the associated wave functions. The obtained energy eigenvalues are shown to agree very well with exact numerical calculations and also the analytical upper bounds available in the literature.
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Chargui et al. (2014) studied this question.
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