Physics – Mathematical Physics
Scientific paper
2009-10-20
Physics
Mathematical Physics
Final version, to appear in Nonlinearity. Nonlinearity (2010) in press
Scientific paper
The multiconfiguration Dirac-Fock method allows to calculate the state of relativistic electrons in atoms or molecules. This method has been known for a long time to provide certain wrong predictions in the nonrelativistic limit. We study in full mathematical details the nonlinear model obtained in the nonrelativistic limit for Be-like atoms. We show that the method with sp+pd configurations in the J=1 sector leads to a symmetry breaking phenomenon in the sense that the ground state is never an eigenvector of L^2 or S^2. We thereby complement and clarify some previous studies.
Esteban Maria J.
Lewin Mathieu
Savin Andreas
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