Hermitian boson mapping and finite truncation
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Starting from a general, microscopic fermion-to-boson mapping that preserves Hermitian conjugation, we discuss truncations of the boson Fock space basis. We give conditions under which the exact boson images of finite fermion operators are also finite (e.g., a 1+2-body fermion Hamiltonian is mapped to a 1+2-body boson Hamiltonian) in the truncated basis. For the most general case, where the image is not necessarily exactly finite, we discuss how to make practical and controlled approximations.
12 pages in RevTex with no figures, Los Alamos preprint # LA-UR-94-1469
12 pages in RevTex with no figures, Los Alamos preprint # LA-UR-94-1469