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The Spinless Relativistic Hulth\'en Problem

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arxiv 1408.4957 v1 pith:HUEFPDHK submitted 2014-08-21 hep-ph math-phmath.MPnucl-thquant-ph

Wolfgang Lucha , Franz F. Schöberl This is my paper · ORCID
classification hep-phmath-phmath.MPnucl-thquant-ph
keywords equationbound-statehulthrelativisticspinlessaccordinglyanalyticconstrain
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The spinless Salpeter equation can be regarded as the eigenvalue equation of a Hamiltonian that involves the relativistic kinetic energy and therefore is, in general, a nonlocal operator. Accordingly, it is hard to find solutions of this bound-state equation by exclusively analytic means. Nevertheless, a lot of tools enables us to constrain the resulting bound-state spectra rigorously. We illustrate some of these techniques for the example of the Hulth\'en potential.

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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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