arXiv:nucl-th/9504016·v1·Nuclear Theory
Boson-fermion mapping of collective fermion-pair algebras
P. Navratil🇿🇦 · H.B. Geyer🇿🇦 · J. Dobaczewski🇿🇦
Abstract
We construct finite Dyson boson-fermion mappings of general collective algebras extended by single-fermion operators. A key element in the construction is the implementation of a similarity transformation which transforms boson-fermion images obtained directly from the supercoherent state method. In addition to the general construction, we give detailed applications to SO(2N), SU(l+1), SO(5), and SO(8) algebras.
Comments: 22 pages, latex, no figures