The Leading Behaviour of The Ground-State Energy of Heavy Ions According to Brown and Ravenhall

2010/08/12 by Xiao Liu, Liu, Xiao
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1008.2120

20 pages

arxiv created 2011/06/18 · arxiv updated 2011/06/21

Abstract

In this article we prove the absence of relativistic effects in leading order for the ground-state energy according to Brown-Ravenhall operator. We obtain this asymptotic result for negative ions and for systems with the number of electrons proportional to the nuclear charge. In the case of neutral atoms the analogous result was obtained earlier by Cassanas and Siedentop [4].

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