Geodesic
On relative bounds for interacting Fermion operators
Documenta mathematica, Tome 28 (2023) no. 3, pp. 683-707 Cet article a éte moissonné depuis la source EMS Press

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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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     author = {Volker Bach and Robert Rauch},
     title = {On relative bounds for interacting {Fermion} operators},
     journal = {Documenta mathematica},
     pages = {683--707},
     year = {2023},
     volume = {28},
     number = {3},
     doi = {10.4171/dm/919},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/919/}
}
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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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