1 citations · 1 across the 3 of their papers we have counts for
3 papers
math-ph2023
Schrödinger evolution in a low-density random potential: annealed convergence to the linear Boltzmann equation for general semiclassical Wigner measures
Søren Mikkelsen
We consider solutions of the time-dependent Schrödinger equation for a potential localised at the points of a Poisson process. We prove convergence of the phase-space distribution…
math.SP2022
Optimal semiclassical spectral asymptotics for differential operators with non-smooth coefficients
Søren Mikkelsen
We consider differential operators defined as Friedrichs extensions of quadratic forms with non-smooth coefficients. We prove a two term optimal asymptotic for the Riesz means of t…
math-ph2019★ 1 cited
An optimal semiclassical bound on certain commutators
Søren Fournais, Søren Mikkelsen
We prove an optimal semiclassical bound on the trace norm of the following commutators , $[\boldsymbol{1}_{(-\infty,0]}(H_\hbar),-i\hbar\…