Abstract

A theory is formulated for solving a many-Fermion system in the framework of unitary-transformation method. A unitary transformation of a product form Πnexp S(n) with n-body operator S(n) is introduced. The operator exp S(n) is determined on the principle that the transformed Hamiltonian should not have interactions which induce n-particle-n-hole excitation. It is proved that the operator S(n) can be given in terms of eigenstates of n-body subsystem Hamiltonian and the true gound state can be given by Πn exp S(n)|φ0>, where |φ0> is the unperturbed free ground state.

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