Isabelle Catto

On the thermodynamic limit for Hartree–Fock type models

We continue here our study [10–13] of the thermodynamic limit for various models of Quantum Chemistry, this time focusing on the Hartree–Fock type models. For the reduced Hartree–Fock models, we prove the existence of the thermodynamic limit for the energy per unit volume. We also define a periodic problem associated to the Hartree–Fock model, and prove that it is well-posed.

A ecessary and Sufficient Condition for The Stability of General molecular Systems

We study here the binding of atoms and molecules and the stability of general molecular systems including molecular ions. This is the first paper of a series devoted to the study of these general problems. We obtain here a general necessary and sufficient condition for the stability of general molecular ststem in the context of thomasz-Fermi-Von Weiasacker, Thomas-Fermi-Dirac-Von Weizsaacker, Hartree or Hartree-Fock theories SUMARY OF PART 1 1.Introduction. II.Presentation of the models III.Diatomic molecular systems and hartree-Fock theory IV.Diatomic molecular systems and Hartree or Thomas-Fermi theories V.General molecular systems Appendix 1: Hartree-Fock models when Z > N ― 1 Appendix 2: Dichotomy yields equal Lagrange multipliers Appendix 3: The problem at infinty for the TRDW model

Self-energy of one electron in non-relativistic QED

We investigate the self-energy of one electron coupled to a quantized radiation field by extending the ideas developed previously by Hainzl. We fix an arbitrary cutoff parameter

Binding of atoms and stability of molecules in Hartree and Thomas-Fermi type theories. Part 2 : Stability is equivalent to the binding of neutral subsystems

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MATHEMATICAL ANALYSIS OF A NONLINEAR PARABOLIC EQUATION ARISING IN THE MODELLING OF NON-NEWTONIAN FLOWS ∗

and recover the

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

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Enhanced binding revisited for a spinless particle in nonrelativistic QED

-term of the self-energy, where

Global-in-time existence of solutions to the multiconfiguration time-dependent Hartree–Fock equations: A sufficient condition

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Well-posedness of a multiscale model for concentrated suspensions

is the coupling parameter representing the fine structure constant. Thereby we develop a method which allows to expand the self-energy up to any power of

Binding of atoms and stability of molecules in Hartree and Thomas-Fermi type theories. Part 3 : Binding of neutral subsystems

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