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One-Dimensional Finite-Gap Schrödinger Operators As a Limit of Commuting Difference Operators Full article

Journal Doklady Mathematics
ISSN: 1064-5624 , E-ISSN: 1531-8362
Output data Year: 2023, Volume: 108, Number: 1, Pages: 312-315 Pages count : 4 DOI: 10.1134/s1064562423700904
Tags commuting difference operators, one-dimensional Schrödinger operator, commuting differential operators
Authors Mauleshova Gulnara S. 1,2 , Mironov Andrey E. 1,2
Affiliations
1 Novosibirsk State University, Novosibirsk, Russia
2 Sobolev Institute of Mathematics, Russian Academy of Sciences, Novosibirsk, Russia

Funding (1)

1 Russian Science Foundation 21-41-00018

Abstract: In this paper we show that the one-dimensional finite-gap Schrödinger operator can be obtained via passage to the limit from a second-order difference operator that commutes with some odd-order difference operator; the coefficients of these difference operators are functions defined on the line and depend on a small parameter. Moreover, the spectral curve of the difference operators does not depend on the small parameter and coincides with the spectral curve of the Schrödinger operator.
Cite: Mauleshova G.S. , Mironov A.E.
One-Dimensional Finite-Gap Schrödinger Operators As a Limit of Commuting Difference Operators
Doklady Mathematics. 2023. V.108. N1. P.312-315. DOI: 10.1134/s1064562423700904 WOS Scopus РИНЦ OpenAlex
Original: Маулешова Г.С. , Миронов А.Е.
Одномерные конечнозонные операторы Шрёдингера как предел коммутирующих разностных операторов
Доклады Академии наук. Серия: Математика, информатика, процессы управления. 2023. Т.512. №1. С.81-84. DOI: 10.31857/S2686954323600349 РИНЦ OpenAlex
Dates:
Submitted: May 15, 2023
Accepted: Jul 13, 2023
Published print: Aug 16, 2023
Published online: Dec 3, 2023
Identifiers:
Web of science: WOS:001112515800007
Scopus: 2-s2.0-85178462000
Elibrary: 64279423
OpenAlex: W4389285795
Citing:
DB Citing
OpenAlex 1
Scopus 1
Web of science 1
Elibrary 1
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