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Open Quantum Systems Decoherence

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

arXiv

Authors: V. A. Derkach, C. Trunk, J. R. Yusupov, D. U. Matrasulov

Year

2024

Paper ID

38160

Status

Preprint

Abstract Read

~2 min

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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.

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We propose a general approach for deriving transparent boundary conditions for the stationary Schroedinger equation with arbitrary potential.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2410.10232 [2] arXiv https://arxiv.org/abs/2410.10232 [3] Publisher https://arxiv.org/abs/2410.10232

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