The spinless relativistic Hulthén problem

Author(s)
Wolfgang Lucha, Franz F. Schoeberl
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.

Organisation(s)
Particle Physics
External organisation(s)
Österreichische Akademie der Wissenschaften (ÖAW)
Journal
International Journal of Modern Physics A
Volume
29
No. of pages
10
ISSN
0217-751X
DOI
https://doi.org/10.1142/S0217751X14501814
Publication date
11-2014
Peer reviewed
Yes
Austrian Fields of Science 2012
103036 Theoretical physics
Keywords
ASJC Scopus subject areas
Astronomy and Astrophysics, Nuclear and High Energy Physics, Atomic and Molecular Physics, and Optics
Portal url
https://ucris.univie.ac.at/portal/en/publications/the-spinless-relativistic-hulthen-problem(05cb976a-cc4a-4412-b87e-576c2a38f444).html