Email this article OPTIMIZATION INVERSE SPECTRAL PROBLEM FOR THE ONE-DIMENSIONAL SCHRODINGER OPERATOR ON THE ENTIRE AXIS
- Authors: Sadovnichii V.A.1, Sultanaev Y.T.2,3, Valeev N.F.4
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Affiliations:
- Lomonosov Moscow State University
- Akmulla Bashkir State Pedagogical University
- Moscow Center for Applied and Fundamental Mathematics
- Institute of Mathematics with Computing Centre — Subdivision of the Ufa Federal Research Centre of RAS
- Issue: Vol 60, No 4 (2024)
- Pages: 492-499
- Section: Articles
- URL: https://journals.rcsi.science/0374-0641/article/view/257624
- DOI: https://doi.org/10.31857/S0374064124040043
- EDN: https://elibrary.ru/PCJHYI
- ID: 257624
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Abstract
We investigate the statement of the optimization inverse spectral problem with incomplete spectral data for the one-dimensional Schr¨odinger operator on the entire axis: for a given potential q0, find the closest function such that the first m eigenvalues of the Schrodinger operator with potential coincided with the given values .
About the authors
V. A. Sadovnichii
Lomonosov Moscow State University
Author for correspondence.
Email: info@rector.msu.ru
Russia
Ya. T. Sultanaev
Akmulla Bashkir State Pedagogical University; Moscow Center for Applied and Fundamental Mathematics
Email: sultanaevyt@gmail.com
Ufa, Russia
N. F. Valeev
Institute of Mathematics with Computing Centre — Subdivision of the Ufa Federal Research Centre of RAS
Email: valeevnf@yandex.ru
Russia
References
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