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Fermion to boson mappings revisited

Joseph N. Ginocchio·Calvin W. Johnson
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Abstract

We briefly review various mappings of fermion pairs to bosons, including those based on mapping operators, such as Belyaev-Zelevinskii, and those on mapping states, such as Marumori; in particular we consider the work of Otsuka-Arima-Iachello, aimed at deriving the Interacting Boson Model. We then give a rigorous and unified description of state-mapping procedures which allows one to systematically go beyond Otsuka-Arima-Iachello and related approaches, along with several exact results.

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Joseph N. Ginocchio, Calvin W. Johnson. 1994-08-15. Fermion to boson mappings revisited. https://arxiv.org/abs/nucl-th/9408014

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