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An existence proof for the Hartree-Fock time-dependent problem with bounded two-body interaction

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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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Authors and Affiliations

  1. Istituto di Fisica dell'Università di Bologna, Bologna, Italy

    A. Bove

  2. Istituto Matematico “G. Castelnuovo” dell'Università di Roma, Roma, Italy

    G. Da Prato

  3. Istituto di Fisica dell'Università di Bologna, Bologna, Italy

    G. Fano

Authors
  1. A. Bove
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  2. G. Da Prato
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  3. G. Fano
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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

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