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On Relative Bounds for Interacting Fermion Operators

Mathematical Physics 2022-11-10 v1 math.MP

Abstract

We consider a Hubbard model with nearest neighbor interaction on a discrete dd-dimensional torus of length LL 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 LL.

Keywords

Cite

@article{arxiv.2211.05060,
  title  = {On Relative Bounds for Interacting Fermion Operators},
  author = {Volker Bach and Robert Rauch},
  journal= {arXiv preprint arXiv:2211.05060},
  year   = {2022}
}
R2 v1 2026-06-28T05:32:07.171Z