Transparent boundary conditions for the stationary Schrödinger equation via Weyl–Titchmarsh theory<sup>*</sup>
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, Shota Rustaveli Str. 156, Tashkent 100121, UzbekistanD. U. MatrasulovTurin Polytechnic University in Tashkent, 17 Niyazov Str., Tashkent 100095, Uzbekistan
ABI
Аннотация
Abstract We propose a general approach for deriving transparent boundary conditions (TBCs) for the stationary Schrödinger equation with arbitrary potential. It is proven that the TBCs 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.
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Показатели — AkademScholar · Скоро