Lieb–Thirring-type sums for non-self-adjoint Schrödinger operators
Alexei Stepanenko: Lieb–Thirring-type sums for non-self-adjoint Schrödinger operators
Lieb–Thirring-type sums describe the discrete eigenvalues of Schrödinger operators, in particular the rate at which they accumulate to the essential spectrum. In this talk, I will present new upper and lower bounds for such sums, in the case of Schrödinger operators on the half-line with complex potentials. In particular, our results give a detailed description of the so-called critical case. The proofs rely on expressing eigenvalues as zeros of an analytic function and applying tools from complex analysis. This is joint work with Leonid Golinskii.
Contact and booking details
- Booking required?
- No