Namig J. Guliyev
Published 2019-10-13Version 1
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.
Comments: 7 pages, no figures, submitted
Approximation of eigenvalues of Schrödinger operators
Schrödinger operators with concentric $δ$-shells
Schrödinger operators with a switching effect
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