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arXiv · 2601.08575

Dynamic representation of the Weyl solution for the Schr\"odinger operator on the semi-axis

A. S. Mikhaylov·V. S. Mikhaylov
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Abstract

We derive a representation formula for the Weyl solution to the Schr\"odinger operator on the semi-axis for certain classes of potentials. Our approach is based on relations with the initial-boundary value problem for the wave equation with the same potential on the half-line.

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A. S. Mikhaylov, V. S. Mikhaylov. 2026-01-13. Dynamic representation of the Weyl solution for the Schr\"odinger operator on the semi-axis. https://arxiv.org/abs/2601.08575

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