Quantum dynamics; Effective evolution equations; Scaling limits; Landau equation; Boltzmann equation; Hartree-Fock equation
SaffirioChiara (2019), Semiclassical limit to the Vlasov equation with inverse power law potentials, in Communications in Mathematical Physics
Crippa Gianluca, Ligabue Silvia, Saffirio Chiara (2018), Lagrangian solutions to the Vlasov-Poisson system with a point charge, in Kinetic & Related Models
, 11(6), 1277-1299.
Saffirio Chiara (2017), Mean-field evolution of fermions with singular interaction, in Macroscopic Limits of Quantum Systems. Munich, Germany, March 20 - April 1, 2017
, Springer, Switzerland.
The subject of this project is the rigorous derivation of effective macroscopic equations starting from the fundamental laws of classical and quantum physics. This is a central question in non-equilibrium statistical mechanics. In particular, we are interested in the Boltzmann equation arising from classical Hamiltonian mechanics for long range potentials and in the emergence of the Hartree-Fock equation and of the quantum Boltzmann equation from the many body Schroedinger evolution.