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Irreducible tensor operator methods in strong‐field coupling
Author(s) -
König E.,
Kremer S.
Publication year - 1977
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560120605
Subject(s) - zeeman effect , kronecker delta , irreducible representation , tensor (intrinsic definition) , symmetric tensor , tensor field , scalar (mathematics) , tensor operator , mathematical physics , operator (biology) , coulomb , physics , ligand field theory , tensor contraction , coupling (piping) , mathematics , quantum mechanics , pure mathematics , exact solutions in general relativity , magnetic field , chemistry , spectral line , geometry , materials science , spherical harmonics , biochemistry , repressor , transcription factor , gene , electron , metallurgy
The algebra of irreducible tensor operators is developed in the strong‐field coupling case. The method is of general applicability to any symmetry group G including nonsimply reducible groups and mixed configurations. The Wigner–Eckart theorem is given for irreducible tensor operators as well as for their Kronecker and scalar products. The expressions required for the calculation of ligand field splitting, Coulomb repulsion, spin–orbit interaction, and Zeeman effect are given in detail. Applications to problems in the spectroscopy and magnetism of transition metal compounds are referred to.