3 papers
math-ph2025
Derivation of the time-dependent Hartree equations for strongly interacting dense fermionic systems
Duc Viet Hoang, David Mitrouskas, Peter Pickl
The time-dependent Hartree and Hartree-Fock equations provide effective mean-field descriptions for the dynamics of large fermionic systems and play a fundamental role in many area…
math-ph2024
Effective Polaron Dynamics of an Impurity Particle Interacting with a Fermi Gas
Duc Viet Hoang, Peter Pickl
We study the quantum dynamics of a homogeneous ideal Fermi gas coupled to an impurity particle on a three-dimensional box with periodic boundary condition. For large Fermi momentum…
math-ph2019
A soft-photon theorem for the Maxwell-Lorentz system
Wojciech Dybalski, Duc Viet Hoang
For the coupled system of classical Maxwell-Lorentz equations we show that the quantities \begin{equation*} \mathfrak{F}(\hat x, t)=\lim_{|x|\to \infty} |x|^2 F(x,t), \quad \mathca…