Boson-fermion mappings for odd systems from supercoherent states
J. Dobaczewski, F. G. Scholtz, H. B. Geyer
Abstract
We extend the formalism whereby boson mappings can be derived from generalized coherent states to boson-fermion mappings for systems with an odd number of fermions. This is accomplished by constructing supercoherent states in terms of both complex and Grassmann variables. In addition to a known mapping for the full so(2N+1) algebra, we also uncover some other formal mappings, together with mappings relevant to collective subspaces.
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