Griffiths Inequalities for Fermion Systems

摘要: In deriving correlation inequalities for a fermion system, generality is not necessarily virtue. Indeed, it seems folly to take advantage of the peculiar characteristics system at hand. Such information may be used very explicitly, as in development Hamiltonian-dependent inequalities, or weaker fashion, paying attention such matters sign interaction. This latter category represented classical lattice gases by Griffiths and their progeny. It purpose this paper show how similar considerations apply systems. We start with discussion use G-matrix restrictions reduce Fermion lower bound principles dependence upon one-body density matrix alone, applying these both real space repulsive forces model superconductors. suggests utility something form whose version we review, emphasizing role replica systems tailored representations painless realization correlations. found that BCS Hamiltonian, well its pair, can treated analogous producing large set inequalities. These are quite sufficient solve G-matrix-reduced Hamiltonian. A reduction technique applied case an electron plasma, suggestions made nature Griffiths-type which might available