Enviar artigo por via de e-mail ONE-DIMENSIONAL FINITE-GAP SCHRÖDINGER OPERATORS AS A LIMIT OF COMMUTING DIFFERENCE OPERATORS
- Autores: Mauleshova G.1,2, Mironov A.1,2
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Afiliações:
- Novosibirsk State University
- Sobolev Institute of Mathematics
- Edição: Volume 512, Nº 1 (2023)
- Páginas: 81-84
- Seção: МАТЕМАТИКА
- URL: https://journals.rcsi.science/2686-9543/article/view/139285
- DOI: https://doi.org/10.31857/S2686954323600349
- EDN: https://elibrary.ru/POQKOT
- ID: 139285
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Resumo
In this paper we show that the one–dimensional finite–gap Schrödinger operator can be obtained by passing 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.
Sobre autores
G. Mauleshova
Novosibirsk State University; Sobolev Institute of Mathematics
Autor responsável pela correspondência
Email: mauleshova@math.nsc.ru
Russian Federation, Novosibirsk; Russian Federation, Novosibirsk
A. Mironov
Novosibirsk State University; Sobolev Institute of Mathematics
Autor responsável pela correspondência
Email: mironov@math.nsc.ru
Russian Federation, Novosibirsk; Russian Federation, Novosibirsk
Bibliografia
- Маулешова Г.С., Миронов А.Е. // ДАН. 2018. Т. 478. В. 4. С. 392–394.
- Новиков С.П. // Функц. анализ и его прил. 1974. Т. 8. В. 3. С. 54–66.
- Итс А.Р., Матвеев В.Б. //ТМФ. 1975. Т. 23. В. 1. С. 51–68.
- Кричевер И.М. // УМН. 1978. Т. 33. В. 4 (202). С. 215–216.
- Mumford D. // Proceedings of the International Symposium on Algebraic Geometry (Kyoto Univ., Kyoto, 1977). Kinokuniya. Tokyo. 1978. 115–153.
- Кричевер И.М., Новиков С.П. // УМН. 2003. Т. 58. В. 3 (351). С. 51–88.
- Маулешова Г.С., Миронов А.Е. // Тр. МИАН. 2020. Т. 310. С. 217–229.
