The boundary control approach to the Titchmarsh-Weyl m-function
Abstract
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 Schr\"odinger operator H=-∂ x2+q( x) on L2( 0,∞ ) with Dirichlet boundary condition at x=0.
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