Matthias Ludewig

activity

20132026

most citedGaplessness of Landau Hamiltonians on hyperbolic half-planes via coarse geometry

21 citations · 132 across the 37 of their papers we have counts for

collaborators

Showing 2013Show all

3 papers · 1 filter

math-ph2013★ 1 cited

Asymptotic eigenfunctions for Schrödinger operators on a vector bundle

Matthias Ludewig, Elke Rosenberger

In the limit $ℏ \to 0$ , we analyze a class of Schrödinger operators $H_{ℏ} = ℏ^{2} L + ℏ W + V \cdot id$ acting on sections of a vector bundle $E h$ ove…

math.DG2013★ 4 cited

Vector Fields with a non-degenerate Source

Matthias Ludewig

We discuss the solution theory of operators of the form $\nabla_{X} + A$ , acting on smooth sections of a vector bundle with connection $\nabla$ over a manifold $M$ , where $X$ is a ve…

math.DG2013★ 1 cited

A Semiclassical Heat Kernel Proof of the Poincaré-Hopf Theorem

Matthias Ludewig

We treat the Witten operator on the de Rham complex with semiclassical heat kernel methods to derive the Poincaré-Hopf theorem and degenerate generalizations of it. Thereby, we see…