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[4] Walter Metzner and Dieter Vollhardt. Correlated Lattice Fermions in $d = \infty$ Dimensions. Physical Review Letters, 62(3):324–327, January 1989.
[5] Olivier Parcollet, Michel Ferrero, Thomas Ayral, Hartmut Hafermann, Igor Krivenko, Laura Messio, and Priyanka Seth. TRIQS: A toolbox for research on interacting quantum systems. Computer Physics Communications, 196:398–415, November 2015.


### Umberto MORELLINI (CEREMADE, Paris)

**Relativistic electrons coupled with Newtonian nuclear dynamics**

In this talk, we consider a model consisting of differential equations coupling the time evolution of a finite number of relativistic electrons with the Newtonian dynamics of finitely many nuclei, where the former is described by the Bogoliubov-Dirac-Fock (BDF) equation of quantum electrodynamics (QED). The Cauchy problem for this model is addressed, proving a global well-posedness result. We believe that this system can be seen as a first step in the study of molecular dynamics phenomena, when both relativistic and quantum effects have to be taken into account [1].

[1] https://arxiv.org/abs/2310.13501

# POSTERS

### Vitaly Gorelov (LSI, Palaiseau)
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