J. Dobaczewski et al., BOSON-FERMION MAPPINGS FOR ODD SYSTEMS FROM SUPERCOHERENT STATES, Physical review. C. Nuclear physics, 48(5), 1993, pp. 2313-2325
We extend the formalism whereby boson mappings can be derived from gen
eralized coherent states to boson-fermion mappings for systems with an
odd number of fermions. This is accomplished by constructing supercoh
erent states in terms of both complex and Grassmann variables. In addi
tion to a known mapping for the full so(2N+1) algebra, we also uncover
some other formal mappings, together with mappings relevant to collec
tive subspaces.