Abstract
The spinless Salpeter equation with the Coulomb potential is solved exactly in momentum space and is shown to agree very well with a coordinate-space calculation. The agreement is so good that it clearly establishes that the procedure discussed can be used to reliably calculate fine-structure effects in any bound-state system without relying on approximations. The procedure works no matter how large the coupling constant. An equation, called the spinless Salpeter equation with retardation, is introduced and this is also able to be solved exactly.
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