Transparent boundary conditions for the stationary Schroedinger equation
via Weyl-Titchmarsh theory
Transparent boundary conditions for the stationary Schroedinger equation
via Weyl-Titchmarsh theory
We propose a general approach for deriving transparent boundary conditions for the stationary Schroedinger equation with arbitrary potential. It is proven that the transparent boundary conditions can be written in terms of the Weyl-Titchmarsh coefficients. As examples for the application of the proposed approach, two special cases for the stationary …