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Stability of atoms in the Brown-Ravenhall model

Sergey Morozov, Semjon Vugalter

math-pharXiv:math-ph/0511033

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.

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