Søren Mikkelsen

collaborators

5 papers

math.SP2026

Quantum mixing for eigenfunctions of rational polygons in configuration space

Kai Hippi, Søren Mikkelsen

The Shnirelman-Zelditch-Colin de Verdière theorem and its weak mixing extension relate quantum ergodicity and quantum mixing with ergodicity and weak mixing of the geodesic flow. I…

math.SP2026

Quantum Mixing for SchrÃ¶dinger eigenfunctions in Benjamini-Schramm limit

Kai Hippi, FÃ©lix Lequen, SÃ¸ren Mikkelsen +2

Let $- I^_{H} + V$ be the SchrÃ¶dinger operator on $H$ where $V \in L^{p} (H) \cap L^{\infty} (H)$ for some $p > 0$ . If $(X_{n})$ is a uniformly discrete s…

math.AP2024

Semiclassical functional calculus on nilpotent Lie groups and their compact nilmanifolds

VÃ©ronique Fischer, SÃ¸ren Mikkelsen

In this paper, we show that the semiclassical calculus recently developed on nilpotent Lie groups and nilmanifolds include the functional calculus of suitable subelliptic operators…

math.SP2024

Sharp semiclassical spectral asymptotics for SchrÃ¶dinger operators with non-smooth potentials

SÃ¸ren Mikkelsen

We consider semiclassical SchrÃ¶dinger operators acting in $L^{2} (R^{d})$ with $d \geq 3$ . For these operators we establish a sharp spectral asymptotics without full regularity.…