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Pair-state analysis of the eigenstates of an N-electron system

N. A. W. Holzwarth

submitted to * Physical Review Letters*
PDF file
The energy of an eigenstate of a N-electron system
can be expressed in terms of
a sum of pair-state energies (eigenvalues of the two-particle reduced
Hamiltonian) weighted by two-particle density matrix elements.
This relation suggests that pair-state basis functions
should provide a useful tool for analyzing many-electron systems.
In order to provide a preliminary test of this idea,
pair-state decompositions of exact solutions to some Hubbard model
systems are examined as functions of the coupling strength.

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