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Semirelativistic Bound-State Equations: Trivial Considerations

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arxiv 1407.4624 v1 pith:5J2JRYVS submitted 2014-07-17 hep-ph math-phmath.MPnucl-thquant-ph

classification hep-phmath-phmath.MPnucl-thquant-ph
keywords potentialalbeitanalyticapproximateboundbound-statecommentsconsiderations
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Observing renewed interest in long-standing (semi-) relativistic descriptions of 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 Hulth\'en potential, recall elementary tools that practitioners looking for analytic albeit approximate solutions might find useful in their quest.

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  1. Semirelativistic Bound States: (Pseudo-) Spinless-Salpeter Approaches Reassessed

    hep-ph 2019-08 conditional novelty 2.0 of 10

    A proceedings review that applies rigorous spectral bounds to semirelativistic Hamiltonians with generalized Hellmann potentials and warns against pseudo-spinless-Salpeter approximations.

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