INTERPRETATION OF HIGHER-ORDER MAGNETIC EFFECTS IN THE SPECTRA OF TRANSITION-METAL IONS IN TERMS OF SO(5) AND SP(10)

Citation
Je. Hansen et al., INTERPRETATION OF HIGHER-ORDER MAGNETIC EFFECTS IN THE SPECTRA OF TRANSITION-METAL IONS IN TERMS OF SO(5) AND SP(10), Physical review letters, 78(16), 1997, pp. 3078-3081
Citations number
15
Categorie Soggetti
Physics
Journal title
ISSN journal
00319007
Volume
78
Issue
16
Year of publication
1997
Pages
3078 - 3081
Database
ISI
SICI code
0031-9007(1997)78:16<3078:IOHMEI>2.0.ZU;2-8
Abstract
Small discrepancies in the fitted energy levels of the configurations 3d(N) of transition metal ions are ascribed to effective three-electro n magnetic operators y(i). Surprisingly it has been found that, of the 16 possible operators with ranks 1 in both spin and orbital spaces, f our operators labeled by the irreducible representation (irrep) (11) o f SO(5) are sufficient to obtain results which appear to be limited by the errors in the experimental energy levels. An interpretation is gi ven involving products of operators labeled by the irreps of SO(5) and the symplectic group Sp(10).