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

Published online by Cambridge University Press:  14 November 2011

V. I. Burenkov  and
W. D. Evans
V. I. Burenkov
Affiliation:
School of Mathematics, University of Wales–Cardiff, Senghennydd Road, Cardiff CF2 4YH, U.K.
W. D. Evans
Affiliation:
School of Mathematics, University of Wales–Cardiff, Senghennydd Road, Cardiff CF2 4YH, U.K.
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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.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 128 , Issue 5 , 1998 , pp. 993 - 1005
Copyright
Copyright © Royal Society of Edinburgh 1998

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References

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