Work

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

Year: 2024

Type: article

Abstract: We propose a general approach for deriving transparent boundary conditions for the stationary Schrödinger 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 Schrödinger equation with the harmonic potential and the Pöschl-Teller potential are considered.

Source: Common Library Network (Der Gemeinsame Bibliotheksverbund)

Authors: Derkach, Volodymyr, Trunk, Carsten, Yusupov, Jambul R., Matrasulov, Davron U.

Institutions: Technische Universität Ilmenau, Kimyo International University in Tashkent, Turin Polytechnic University

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: European Commission

Awards: Spectral Optimization: From Mathematics to Physics and Advanced Technology, G434337789

OpenAlex ID: W7086625224