Burenkov V.I., Evans W.D.
On the evaluation of the norm of an integral operator associated with
the stability of one-electron atoms
(27K, LATEX)
ABSTRACT. The norm of an integral operator occurring in the partial wave decomposition of
an operator $B$ introduced by Brown and Ravenhall in a model for relativistic one-electron
atoms is determined. The result implies that $B$ is non-negative and has no eigenvalue at
$0$ when the nuclear charge does not exceed a specified critical value.