AI & Computingarticle2026-08-15

DIFFERENTIABILITY OF EIGENVALUES OF ONE-DIMENSIONAL SCHRÖDINGER OPERATORS WITH POINT INTERACTIONS IN POTENTIALS

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Abstract

In this paper, the dependence of eigenvalues of one-dimensional Schrödinger operators with point interactions in potentials is studied. More precisely, the second-order Fréchet derivative of eigenvalues of one-dimensional Schrödinger operators with point interactions in potentials is presented.

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View paper (DOI)Open access versionOpenAlexJournal of Applied Analysis & ComputationPublished 2026-08-15

Authors: Kun Li, Tingting Wang, Zhaowen Zheng, Yulin Bai