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math-ph2023
Derivation of Vlasov equations for multi-species fermions
Hongshuo Chen, Li Chen, Jinyeop Lee +1
We explore a system of two-species fermions with particles. Through this exploration, we establish a two-species Husimi measure and construct a two-species Bogoliubov-Born-Gree…
math-ph2020
A Statistical Theory of Heavy Atoms: Energy and Excess Charge
Hongshuo Chen, Rupert L. Frank, Heinz Siedentop
The purpose of this note is to give an elementary derivation of a lower bound on the relativistic Thomas-Fermi-Weizsäcker-Dirac functional of Thomas-Fermi type and to apply it to g…
math-ph2019
On the excess charge of a relativistic statistical model of molecules with an inhomogeneity correction
Hongshuo Chen, Heinz Siedentop
We show that the molecular relativistic Thomas-Fermi-Weizsäcker functional consisting of atoms of atomic numbers has a minimizer, if the particle number is constr…