On the evaluation of the norm of an integral operator associated with the stability of one-electron atoms-Reference-Cited by-同舟云学术

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

Published:1998 Issue:5 Volume:128 Page:993-1005
ISSN:0308-2105
Container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
language:en
Short-container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Author:

Burenkov V. I.,Evans W. D.

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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference5 articles.

1. Critical coupling constants for relativistic wave equations and vacuum breakdown in quantum electrodynamics

2. On the interaction of two electrons

3. The spectrum of relativistic one-electron atoms according to Bethe and Salpeter

4. Strict Positivity of a Relativistic Hamiltonian Due to Brown and Ravenhall

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