Søren Mikkelsen

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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.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.…