Stability of atoms in the Brown-Ravenhall model

Details Stability of atoms in the Brown-Ravenhall model Stability of atoms in the Brown-Ravenhall model

2005-11-09

arxiv.org/abs/math-ph/0511033v2

Annales Henri Poincar\'e, 7(4):661-687, 2006

Physics

Mathematical Physics

31 pages, accepted to "Annales Henry Poincare". The error in Lemma 3 of the previous version is corrected and the correspondin

Scientific paper

10.1007/s00023-006-0264-x

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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