Abstract
In recent years, the method for unitarizing nonunitary Dyson boson realizations of shellmodel algebras has been both generalized and substantially simplified through the introduction of overtly group-theoretical methods. In this paper, these methods are applied to the boson-odd-particle realization of the algebra SO(2v+1) forv single-particle levels, adapted to the group chain SO(2v+ l)⊃SO(2v)⊃U(v), which Marshalek first derived by brute force summation of a Taylor expansion and later Okubo by a largely algebraic technique.
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Klein, A., Marshalek, E.R. A new derivation of the Marshalek-Okubo realization of the shell-model algebraso(2v+1) for even and odd systems withv single-particle levels. Z. Physik A - Atomic Nuclei 329, 441–449 (1988). https://doi.org/10.1007/BF01294349
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DOI: https://doi.org/10.1007/BF01294349