3 papers
math.AP2026
Velocity Averaging for the Wigner Equation with Electromagnetic Fields
François Golse, Jakob Möller
We discuss the application of -based velocity averaging to the Wigner kinetic equation governing the quantum evolution of the Wigner transform of a density operator of a parti…
math.AP2023
The Pauli-Poisson equation and its semiclassical limit
Jakob Möller
The Pauli-Poisson equation is a semi-relativistic model for charged spin-1/2-particles in a strong external magnetic field and a self-consistent electric potential computed from th…
math-ph2023
Nonlinear PDE models in semi-relativistic quantum physics
Jakob Möller, Norbert J. Mauser
We present the self-consistent Pauli equation, a semi-relativistic model for charged spin--particles with self-interaction with the electromagnetic field. The Pauli equation a…