On the evaluation of the norm of an integral operator associated with the stability of one-electron atoms

Details On the evaluation of the norm of an integral operator associated with the stability of one-electron atoms On the evaluation of the norm of an integral operator associated with the stability of one-electron atoms

1998-01-15

arxiv.org/abs/math/9801074v1

Mathematics

Spectral Theory

14 pages

Scientific paper

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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