The One-Dimensional Spinless Relativistic Coulomb Problem

Details The One-Dimensional Spinless Relativistic Coulomb Problem The One-Dimensional Spinless Relativistic Coulomb Problem

1999-05-31

arxiv.org/abs/hep-ph/9905556v1

J.Math.Phys. 41 (2000) 1778-1787

Physics

High Energy Physics

High Energy Physics - Phenomenology

LaTeX, 11 pages

Scientific paper

10.1063/1.533211

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.

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