Boson-fermion mappings for odd systems from supercoherent states

Dobaczewski J. ; Scholtz F.G. ; Geyer H.B. (1993)


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. © 1993 The American Physical Society.

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