7 citations · 7 across the 6 of their papers we have counts for
Showing 2022Show all
3 papers · 1 filter
math.AP2022
The magnetic Liouville equation as a semi-classical limit
Immanuel Ben Porat
The Liouville equation with non-constant magnetic field is obtained as a limit in the Planck constant \hbar of the Heisenberg equation with the same magnetic field. The convergence…
math.AP2022★ 7 cited
Derivation of Euler's equations of perfect fluids from von Neumann's equation with magnetic field
Immanuel Ben Porat
We give a rigorous derivation of the incompressible 2D Euler equation from the von Neumann equation with magnetic field. The convergence is with respect to the modulated energy fun…
math-ph2022
Pickl's Proof of the Quantum Mean-Field Limit and Quantum Klimontovich Solutions
Immanuel Ben Porat, François Golse
This paper discusses the mean-field limit for the quantum dynamics of identical bosons in interacting via a binary potential with Coulomb type singularity. Our ap…