Transparent boundary conditions for the stationary Schroedinger equation via Weyl-Titchmarsh theory

Volodymyr Derkach, Carsten Trunk, J.R. Yusupov, D. U. Matrasulov

Type: Preprint

Publication Date: 2024-10-14

Citations: 0

DOI: https://doi.org/10.48550/arxiv.2410.10232

Abstract

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 Schroedinger equation with the harmonic potential and the Poeschl-Teller potential are considered.

Locations

arXiv (Cornell University) - View - PDF

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