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Stability of homogeneous equilibria of the
Hartree–Fock equation for its equivalent formulation for random fields
Charles Collot, Elena Danesi, Anne-Sophie de Suzzoni and Cyril Malézé Probability and Mathematical Physics 6(1) 241 (2025) https://doi.org/10.2140/pmp.2025.6.241
Derivation of Vlasov equations for multi-species fermions
From Particle Systems to Partial Differential Equations
Chiara Saffirio Springer Proceedings in Mathematics & Statistics, From Particle Systems to Partial Differential Equations 352 335 (2021) https://doi.org/10.1007/978-3-030-69784-6_16
Global semiclassical limit from Hartree to Vlasov equation for concentrated initial data
Niels Benedikter, Marcello Porta, Chiara Saffirio and Benjamin Schlein Archive for Rational Mechanics and Analysis 221(1) 273 (2016) https://doi.org/10.1007/s00205-015-0961-z
A New Method and a New Scaling for Deriving Fermionic Mean-Field Dynamics
Classical limit for semirelativistic Hartree systems
Gonca L. Aki, Peter A. Markowich and Christof Sparber Journal of Mathematical Physics 49(10) (2008) https://doi.org/10.1063/1.3000059
Mathematical Physics of Quantum Mechanics
Olivier Bokanowski, José L. López, Óscar Sánchez and Juan Soler Lecture Notes in Physics, Mathematical Physics of Quantum Mechanics 690 217 (2006) https://doi.org/10.1007/3-540-34273-7_17
On an Exchange Interaction Model for Quantum Transport: The Schrödinger–Poisson–Slater System