Relationship Between Different Types of Inverse Data for the One-Dimensional Schrödinger Operator on a Half-Line
- Authors: Mikhaylov A.S.1, Mikhaylov V.S.1
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Affiliations:
- St.Petersburg Department of Steklov Mathematical Institute, St.Petersburg State University
- Issue: Vol 226, No 6 (2017)
- Pages: 779-794
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/240066
- DOI: https://doi.org/10.1007/s10958-017-3566-2
- ID: 240066
Cite item
Abstract
Inverse dynamic, spectral, quantum, and acoustic scattering problems for the Schrödinger operator on a half-line are considered. The goal of the paper is to establish the relationship between different types of inverse data for these problems. The central objects, which serve as a source for all formulas, are the kernels of the so-called connecting operators and the corresponding Krein equations.
About the authors
A. S. Mikhaylov
St.Petersburg Department of Steklov Mathematical Institute, St.Petersburg State University
Author for correspondence.
Email: a.mikhaylov@spbu.ru
Russian Federation, St.Petersburg
V. S. Mikhaylov
St.Petersburg Department of Steklov Mathematical Institute, St.Petersburg State University
Email: a.mikhaylov@spbu.ru
Russian Federation, St.Petersburg
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