A proceedings review that applies rigorous spectral bounds to semirelativistic Hamiltonians with generalized Hellmann potentials and warns against pseudo-spinless-Salpeter approximations.
Instantaneous Bethe-Salpeter Equation with Exact Propagators
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abstract
Consequent application of the instantaneous approximation to both the interaction and all propagators of the bound-state constituents allows us to forge, within the framework of the Bethe-Salpeter formalism for the description of bound states, an instantaneous form of the Bethe-Salpeter equation with exact (i.e., full) propagators of the bound-state constituents. This instantaneous equation generalizes the well-known Salpeter equation the derivation of which needs the additional assumption of free propagation of the bound-state constituents.
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Semirelativistic Bound States: (Pseudo-) Spinless-Salpeter Approaches Reassessed
A proceedings review that applies rigorous spectral bounds to semirelativistic Hamiltonians with generalized Hellmann potentials and warns against pseudo-spinless-Salpeter approximations.