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

V. I. Burenkov; W. D. Evans

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arXiv · math/9801074

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

V. I. Burenkov·W. D. Evans

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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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BibTeX RIS

V. I. Burenkov, W. D. Evans. 1998-01-15. On the evaluation of the norm of an integral operator associated with the stability of one-electron atoms. https://arxiv.org/abs/math/9801074

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