On the Class of Canonical Systems Corresponding to Matrix String Equations

Explore a 23-minute lecture on canonical systems corresponding to matrix string equations, delivered by Alexander Sakhnovich at the Workshop on "Spectral Theory of Differential Operators in Quantum Theory" held at the Erwin Schrödinger International Institute for Mathematics and Physics (ESI). Delve into the analysis of canonical systems with 2p × 2p Hamiltonians H(x) ≥ 0, examining both direct and inverse problems through Titchmarsh–Weyl and spectral matrix functions, as well as related S-nodes. Learn about procedures for constructing fundamental solutions and solving inverse problems, and gain insights into the high energy asymptotics of Weyl functions. This advanced mathematical talk offers a deep dive into the intricate relationships between canonical systems and matrix string equations, providing valuable knowledge for researchers and advanced students in mathematical physics and spectral theory.