Dynamic representation of the Weyl solution for the Schrödinger operator on the semi-axis

arXiv (Cornell University) 2026 Preprint Open access

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Authors: A. S. Mikhaylov, V. S. Mikhaylov
DOI: 10.48550/arxiv.2601.08575
Cited by: 0

Abstract

We derive a representation formula for the Weyl solution to the Schrödinger 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.

Fields of Study & Subjects

Spectral Theory in Mathematical Physics Differential Equations and Boundary Problems Advanced Mathematical Physics Problems

Publication details

Journal / source
arXiv (Cornell University)
Publication date
13 January 2026
Document type
Preprint