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Boson-fermion mappings for odd systems from supercoherent states

J. Dobaczewski·F. G. Scholtz·H. B. Geyer
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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(2$N$+1) algebra, we also uncover some other formal mappings, together with mappings relevant to collective subspaces.

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J. Dobaczewski, F. G. Scholtz, H. B. Geyer. 1993-03-31. Boson-fermion mappings for odd systems from supercoherent states. https://doi.org/10.1103/physrevc.48.2313

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