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Abstract:
Based on the Dyson boson expansion and the modified Jancovici-SchifF substitution, a one-one correspondence between the fermion collective pair space and interacting boson space is obtained. It is shown that one can uniquely determine the boson mappings of fermion operators and the IBM Hamiltonian takes a noii-Hermitian form. The fermion matrix elements are directly calculated in the IBM boson space. The rather complicated state projection, which is used to remove the spurious states, can also be performed there.
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