Improved Lieb-Thirring type inequalities for non-selfadjoint Schroedinger operators

Sabine Bögli (Durham U)

Nov 07. 2022, 14:00 — 14:45

In this talk we study the eigenvalues of Schroedinger operators with complex-valued potentials. We improve the Lieb-Thirring type inequalities by Demuth, Hansmann and Katriel (J. Funct. Anal. 2009). Our result involves a positive, integrable function. We show that in the one-dimensional case the result is sharp in the sense that if we take a non-integrable function, then an analogous inequality cannot hold.

Further Information
ESI Boltzmann Lecture Hall
Associated Event:
Spectral Theory of Differential Operators in Quantum Theory (Workshop)
Jussi Behrndt (TU Graz)
Fritz Gesztesy (Baylor U, Waco)
Ari Laptev (Imperial College London)
Christiane Tretter (U Bern)