Stability of atoms in the Brown-Ravenhall model

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.

arXiv comment31 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

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