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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…