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Brillouin's theorem for complex atomic configurations

1987; IOP Publishing; Volume: 20; Issue: 14 Linguagem: Inglês

10.1088/0022-3700/20/14/004

1747-3721

Michel Godefroid, Jacques Liévin, J Y Metz,

Advanced Fiber Laser Technologies

General mathematical expressions are derived for the weighting coefficients of the configuration state functions defining the singly excited function satisfying Brillouin's theorem for complex atomic configurations. The relations are illustrated for different cases and tested numerically by the cancellation of the Brillouin matrix elements using the Hartree-Fock solution for the reference function.