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Irreducible tensor operator methods in intermediate‐field coupling
Author(s) -
König E.,
Kremer S.
Publication year - 1974
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.560080304
Subject(s) - zeeman effect , kronecker delta , tensor (intrinsic definition) , tensor operator , operator (biology) , coulomb , tensor field , dirac operator , irreducible representation , symmetric tensor , coupling (piping) , scalar (mathematics) , tensor contraction , physics , mathematical physics , field (mathematics) , mathematics , quantum mechanics , pure mathematics , tensor product , magnetic field , exact solutions in general relativity , chemistry , geometry , materials science , spherical harmonics , biochemistry , repressor , transcription factor , metallurgy , gene , electron
The algebra of irreducible tensor operators is developed in the intermediate‐field coupling case. The Wigner‐Eckart theorem is formulated for a simple irreducible tensor operator as well as for the Kronecker and scalar products of these operators. The expressions required for the calculation of Coulomb repulsion, crystal field splitting, spin‐orbit interaction, and Zeeman effect are given in detail. Recent applications to various problems in spectroscopy and magnetism of transition metal compounds are referred to.