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    Article

    Existence of Minimizers for the Dirac–Fock Model of Crystals

    Whereas many different models exist in mathematics and physics for the ground states of non-relativistic crystals, the relativistic case has been much less studied, and we are not aware of any mathematical res...

    Isabelle Catto, Long Meng, Éric Paturel… in Archive for Rational Mechanics and Analysis (2024)

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    Mathematical Theory for Quantum Crystals

    Isabelle Catto in Encyclopedia of Applied and Computational Mathematics (2015)

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    Hartree–Fock Type Methods

    Isabelle Catto in Encyclopedia of Applied and Computational Mathematics (2015)

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    Article

    Setting and Analysis of the Multi-configuration Time-dependent Hartree–Fock Equations

    In this paper, we formulate and analyze the multi-configuration time-dependent Hartree–Fock (MCTDHF) equations for molecular systems with pairwise interaction. This set of coupled nonlinear PDEs and ODEs is an...

    Claude Bardos, Isabelle Catto… in Archive for Rational Mechanics and Analysis (2010)