Semirelativistic Bound-State Equations: Trivial Considerations
@inproceedings{Lucha2014SemirelativisticBE, title={Semirelativistic Bound-State Equations: Trivial Considerations}, author={Wolfgang Lucha and Franz F. Schoberl}, year={2014} }
Observing renewed interest in long-standing (semi-) relativistic descriptions of two-body bound states, we would like to make a few comments on the eigenvalue problem posed by the spinless Salpeter equation and, illustrated by the examples of the nonsingular Woods-Saxon potential and the singular Hulthen potential, recall elementary tools that, in their quest, practitioners looking for analytic albeit approximate solutions will find useful.
7 Citations
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We compile some easily deducible information on the discrete eigenvalue spectra of spinless Salpeter equations encompassing, besides a relativistic kinetic term, interactions which are expressible as…
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We constrain the possible bound-state solutions of the spinless Salpeter equation (the most obvious semirelativistic generalization of the nonrelativistic Schr\"odinger equation) with an interaction…
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