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On Relative Bounds for Interacting Fermion Operators

Published 9 Nov 2022 in math-ph and math.MP | (2211.05060v1)

Abstract: We consider a Hubbard model with nearest neighbor interaction on a discrete $d$-dimensional torus of length $L$ around its Hartree-Fock ground state and derive relative bounds of the effective interaction with respect to the effective kinetic energy. It is shown that there are no relative bounds uniform in $L$.

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