Speaker
Rupert Frank, LMU Muenchen
Abstract
Let \(H_0 \geq 0\) be either a Pauli operator or a Schrödinger operator with a background potential that has a zero energy resonance. We will prove Lieb-Thirring inequalities for Riesz means of order \(\gamma\) of the eigenvalues of \(H_0+V\). Our results are valid down to and including some smallest possible \(\gamma\) and we show that this value is determined by the decay at infinity of the resonance function.
The talk is based on joint work with Hynek Kovarik.