Fermion to boson mappings revisited

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.

Comments: 21 pages in RevTex with 1 figure (available as postscript file from the authors), presented at the HARMONY OF PHYSICS conference in honor of S. Belyaev, University of Pennsylvania, May 9-11 1994, and to be published in Physic Reports; Los Alamos preprint # LA-UR-94-2767