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The spinless relativistic Hulthén problem

Wolfgang Lucha

Institute for High Energy Physics, Austrian Academy of Sciences, Nikolsdorfergasse 18, A-1050 Vienna, Austria

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and

Franz F. Schöberl

Faculty of Physics, University of Vienna, Boltzmanngasse 5, A-1090 Vienna, Austria

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https://doi.org/10.1142/S0217751X14501814Cited by:7 (Source: Crossref)

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 Hulthén potential.

Keywords:

PACS: 03.65.Pm, 03.65.Ge, 12.39.Pn, 11.10.St

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