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arXiv · 1408.4957

The Spinless Relativistic Hulth\'en Problem

Wolfgang Lucha·Franz F. Schöberl
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Abstract

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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Wolfgang Lucha, Franz F. Schöberl. 2014-08-21. The Spinless Relativistic Hulth\'en Problem. https://doi.org/10.1142/s0217751x14501814

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