Spectral identities for Schr\"{o}dinger operators
Mathematical Physics
2025-04-30 v1 Classical Analysis and ODEs
Functional Analysis
math.MP
Spectral Theory
Abstract
We obtain a system of identities relating boundary coefficients and spectral data for the one-dimensional Schr\"{o}dinger equation with boundary conditions containing rational Herglotz--Nevanlinna functions of the eigenvalue parameter. These identities can be thought of as a kind of mini version of the Gelfand--Levitan integral equation for boundary coefficients only.
Cite
@article{arxiv.1910.05812,
title = {Spectral identities for Schr\"{o}dinger operators},
author = {Namig J. Guliyev},
journal= {arXiv preprint arXiv:1910.05812},
year = {2025}
}
Comments
7 pages, no figures, submitted