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An existence proof for the Hartree-Fock time-dependent problem with bounded two-body interaction |
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| Authors: | A. Bove G. Da Prato G. Fano |
| Affiliation: | 1. Istituto di Fisica dell'Università di Bologna, Bologna, Italy 2. Istituto Matematico “G. Castelnuovo” dell'Università di Roma, Roma, Italy 3. Istituto di Fisica dell'Università di Bologna, Bologna, Italy |
| 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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