The Boundary Control Approach to the Titchmarsh-Weyl m–Function. I. The Response Operator and the A–Amplitude

By S. Avdonin, V. Mikhaylov, A. Rybkin. 2007

47 citations recorded by the source corpus.

We link the Boundary Control Theory and the Titchmarsh-Weyl Theory. This provides a natural interpretation of the A−amplitude due to Simon and yields a new efficient method to evaluate the Titchmarsh-Weyl m−function associated with the Schrödinger operator H = −∂x2 + q(x) on L2(0, ∞) with Dirichlet boundary condition at x = 0.

Subfields: Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/2d32d7df6ef111e9c8fb33dc55948487c2ecb9f6