MCQM22 Third School and Workshop

Mathematical Challenges in Quantum Mechanics

Como, Italy -- June 13 - 18, 2022

Jussi Behrndt

The generalized Birman-Schwinger principle

In this lecture we discuss a generalized Birman–Schwinger principle in  the non-self-adjoint context. In particular, we provide a detailed discussion of geometric and algebraic multiplicities of eigenvalues of the basic operator of interest (e.g., a Schrödinger operator) and the associated Birman–Schwinger operator, and additionally offer a careful study of the associated Jordan chains of generalized eigenvectors of both operators.

This talk is based on a joint paper with Fritz Gesztesy and Tom ter Elst.