Preprint

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

Volodymyr DerkachTechnical University of Ilmenau , 25 Weimarer Str. , 100565 , D-98693 , Ilmenau , GermanyCarsten TrunkTechnical University of Ilmenau , 25 Weimarer Str. , 100565 , D-98693 , Ilmenau , GermanyJambul YusupovKimyo International University in Tashkent , 156 Usman Nasyr Str. , 100121 , Tashkent , UzbekistanD. U. MatrasulovTurin Polytechnic University in Tashkent , 17 Niyazov Str. , 100095 , Tashkent , Uzbekistan

2024en

Ochiq kirishYashil

Litsenziya: cc-by-nc-nd

ABI

Annotatsiya

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.

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Identifikatorlar

DOI: 10.48550/arxiv.2410.10232

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