The One-Dimensional Spinless Relativistic Coulomb Problem
High Energy Physics - Phenomenology
2009-10-31 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
Motivated by a recent analysis which presents explicitly the general solution, we consider the eigenvalue problem of the spinless Salpeter equation with a ("hard-core amended") Coulomb potential in one dimension. We prove the existence of a critical coupling constant (which contradicts the assertions of the previous analysis) and give analytic upper bounds on the energy eigenvalues. These upper bounds seem to disprove the previous explicit solution.
Keywords
Cite
@article{arxiv.hep-ph/9905556,
title = {The One-Dimensional Spinless Relativistic Coulomb Problem},
author = {Wolfgang Lucha and F. F. Schoberl},
journal= {arXiv preprint arXiv:hep-ph/9905556},
year = {2009}
}
Comments
LaTeX, 11 pages