Abstract
Using fixed point theorems for local contractions in Banach spaces, an existence and uniqueness proof for the Hartree-Fock time-dependent problem is given in the case of a finite Fermi system interacting via a bounded two-body potential. The existence proof for the “strong” solution of the evolution problem is obtained under suitable conditions on the initial state.
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Communicated by W. Hunziker
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Bove, A., Da Prato, G. & Fano, G. An existence proof for the Hartree-Fock time-dependent problem with bounded two-body interaction. Commun.Math. Phys. 37, 183–191 (1974). https://doi.org/10.1007/BF01646344
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DOI: https://doi.org/10.1007/BF01646344