Geodesic
On relative bounds for interacting Fermion operators
Documenta mathematica, Tome 28 (2023) no. 3, pp. 683-707

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We consider a system of interacting fermions whose Hamiltonian is unitarily transformed so that the interaction is a quartic perturbation of the Hartree–Fock effective Hamiltonian. It is shown under natural model assumptions that the interaction does not admit a relative bound with respect to the effective Hamiltonian that is uniform in the system’s size.
DOI : 10.4171/dm/919
Classification : 81Q05, 81-02, 81V45, 81V55, 81V74
Mots-clés : Relative bounds, perturbation theory, Coulomb systems 
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Volker Bach; Robert Rauch. On relative bounds for interacting Fermion operators. Documenta mathematica, Tome 28 (2023) no. 3, pp. 683-707. doi: 10.4171/dm/919

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