1994/08/15 by Joseph N. Ginocchio, Ginocchio, Joseph N., Calvin W. Johnson +1
Computer Science · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Nuclear Theory (nucl-th) #Quantum Information and Cryptography #Quantum Mechanics and Applications #nucl-th
paper · pdf · doi:10.48550/arxiv.nucl-th/9408014
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
arxiv created 1994/08/15 · openalex publication_date 1994/08/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.