Boson-fermion mapping of collective fermion-pair algebras

Navrtil P. ; Geyer H.B. ; Dobaczewski J. (1995)


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. © 1995 The American Physical Society.

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