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Exact, finite, and Hermitian fermion-pair-to-boson mapping

Calvin W. Johnson·Joseph N. Ginocchio
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Abstract

We discuss a general, exact (in that matrix elements are preserved) mapping of fermion pairs to bosons, and find a simple factorization of the boson representation of fermion operators. This leads to boson Hamiltonians that are Hermitian and finite, with no more than two-body operators if the fermion Hamiltonian has at most two-body operators, and one-body boson transition operators if the fermion transition operator is one-body.

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Calvin W. Johnson, Joseph N. Ginocchio. 1993-11-10. Exact, finite, and Hermitian fermion-pair-to-boson mapping. https://arxiv.org/abs/nucl-th/9311010

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