Bose-Operator Expansions of Tensor Operators in the Theory of Magnetism

Per-Anker Lindgård, O. Danielsen

    Research output: Contribution to journalJournal articleResearchpeer-review


    Using a method of matching corresponding matrix elements, a hermitian Bose-operator expansion of tensor operators of arbitrary rank which transforms all kinematic effects into dynamical interactions between Bose particles is derived. It is shown that the method is a generalization of the Holstein- Primakoff transformation of the angular momentum components. Tables are given for the Racah operators of rank k up to k=8 in terms of angular momentum operators and in terms of Bose operators. A similar table is given for the Stevens operators for even k up to k=6.
    Original languageEnglish
    JournalJournal of Physics C: Solid State Physics
    Issue number8
    Pages (from-to)1523-1535
    Publication statusPublished - 1974


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