7 citations · 7 across the 1 of their papers we have counts for
3 papers
math-ph2002★ 7 cited
Classical magnetic Lifshits tails in three space dimensions: impurity potentials with slow anisotropic decay
Dirk Hundertmark, Werner Kirsch, Simone Warzel
We determine the leading low-energy fall-off of the integrated density of states of a magnetic Schroedinger operator with repulsive Poissonian random potential in case its single i…
math-ph2001
Lieb-Thirring Inequalities for Jacobi Matrices
Dirk Hundertmark, Barry Simon
For a Jacobi matrix J on l^2(Z_+) with Ju(n)=a_{n-1} u(n-1) + b_n u(n) + a_n u(n+1), we prove that \sum_{|E|>2} (E^2 -4)^{1/2} \leq \sum_n |b_n| + 4\sum_n |a_n -1|. We also prove b…
math-ph1998
Continuity properties of Schrödinger semigroups with magnetic fields
Kurt Broderix, Dirk Hundertmark, Hajo Leschke
The objects of the present study are one-parameter semigroups generated by Schrödinger operators with fairly general electromagnetic potentials. More precisely, we allow scalar pot…