G-reduced Hamiltonians

To the Q- and the G-reduced Hamiltonians, we may wish to affix the name generalized reduced Hamiltonians. Just as the D-form of the reduced Hamiltonian may be lifted to an A -particle Hamiltonian, the g-form of the reduced... 

D-, the Q-, and the G-conditions we have If the two-particle reduced Hamiltonian shifted by its N-particle ground-state energy can be written as an ensemble of the reduced Hamiltonians in the set > 0 as well as the Q- and the G-reduced Hamiltonians parameterized in Eqs. (68) and (69), then the energy for an N-particle system may be computed exactly. 

The G-reduced Hamiltonians are necessary and sufficient for at least three important classes of Hamiltonians (i) all one-particle Hamiltonians, (ii) bosons or fermions with harmonic interactions [24], and (iii) all Hamiltonians with... 

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