On the evaluation of the norm of an integral operator associated with the stability of one-electron atoms
V. I. Burenkov, W. D. Evans
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.
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