The boundary control approach to the Titchmarsh-Weyl m−function. I. The response operator and the A−amplitude
نویسندگان
چکیده
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 = −∂2 x + q (x) on L2 (0,∞) with Dirichlet boundary condition at x = 0.
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