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On the thermodynamic limit for Hartree and Hartree-Fock type models. (Sur la limite thermodynamique pour des modèles de type Hartree et Hartree-Fock.) (French. Abridged English version) Zbl 0919.35142
Summary: We carry on here our study [ibid. 322, No. 4, 357-364 (1996; Zbl 0849.35114) and The mathematical theory of thermodynamic limits: Thomas-Fermi type models. Oxford Univ. Press 1998] of the thermodynamic limit of various models of quantum chemistry, focusing on Hartree and Hartree-Fock type models. For the restricted Hartree and the reduced Hartree-Fock models, we prove the existence of the thermodynamic limit for the energy per unit volume. We also define periodic problems associated to the Hartree and Hartree-Fock models, and prove that they are both mathematically well posed.

MSC:
35Q80 Applications of PDE in areas other than physics (MSC2000)
80A50 Chemistry (general) in thermodynamics and heat transfer
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