Stability of atoms in the Brown-Ravenhall model
Mathematical Physics
2012-04-06 v2 math.MP
Abstract
We consider the Brown--Ravenhall model of a relativistic atom with N electrons and a nucleus of charge Z and prove the existence of an infinite number of discrete eigenvalues for N <= Z. As an intermediate result we prove a HVZ-type theorem for these systems.
Cite
@article{arxiv.math-ph/0511033,
title = {Stability of atoms in the Brown-Ravenhall model},
author = {Sergey Morozov and Semjon Vugalter},
journal= {arXiv preprint arXiv:math-ph/0511033},
year = {2012}
}
Comments
31 pages, accepted to "Annales Henry Poincare". The error in Lemma 3 of the previous version is corrected and the corresponding changes are done in the proof of Theorem 1