Year: 2025
Type: preprint
Abstract: The half-line Dirac operators with $L^2$-potentials can be characterized by their spectral data. It is known that the spectral correspondence is a homeomorphism: close potentials give rise to close spectral data and vice versa. We prove the first explicit two-sided uniform estimate related to this continuity in the general $L^2$-case. The proof is based on an exact solution of the inverse spectral problem for Dirac operators with $δ$-interactions on a half-lattice in terms of the Schur's algorithm for analytic functions.
Source: arXiv (Cornell University)
Authors: Bessonov, Roman, Gubkin, Pavel
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6979275449
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