The Spinless Relativistic Hulth\'en Problem
High Energy Physics - Phenomenology
2014-11-20 v1 Mathematical Physics
math.MP
Nuclear Theory
Quantum Physics
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.
Cite
@article{arxiv.1408.4957,
title = {The Spinless Relativistic Hulth\'en Problem},
author = {Wolfgang Lucha and Franz F. Schöberl},
journal= {arXiv preprint arXiv:1408.4957},
year = {2014}
}
Comments
8 pages