Point spectrum of the schrödinger operator with point interactions at the vertices of regular N-gons
We present a complete description of the point spectrum of the Laplace operator perturbed by point potentials concentrated at the vertices of regular polygons. We prove a criterion for the absence of points of the point spectrum of a singular perturbed positive self-adjoint operator with the propert...
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| Datum: | 2004 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Ukrainisch Englisch |
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Institute of Mathematics, NAS of Ukraine
2004
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/3827 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860509959066746880 |
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| author | Dudkin, M. Ye. Дудкін, М. Є. |
| author_facet | Dudkin, M. Ye. Дудкін, М. Є. |
| author_sort | Dudkin, M. Ye. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:11:24Z |
| description | We present a complete description of the point spectrum of the Laplace operator perturbed by point potentials concentrated at the vertices of regular polygons. We prove a criterion for the absence of points of the point spectrum of a singular perturbed positive self-adjoint operator with the property of cyclicity of defect vectors. |
| first_indexed | 2026-03-24T02:49:23Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-3827 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T02:49:23Z |
| publishDate | 2004 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/c7/057d053668f9a9d10f04fcb29f30a2c7.pdf |
| spelling | umjimathkievua-article-38272020-03-18T20:11:24Z Point spectrum of the schrödinger operator with point interactions at the vertices of regular N-gons Точковий спектр оператора Шредіпгера з точковими взаємодіями у вершинах правильних N-кутників Dudkin, M. Ye. Дудкін, М. Є. We present a complete description of the point spectrum of the Laplace operator perturbed by point potentials concentrated at the vertices of regular polygons. We prove a criterion for the absence of points of the point spectrum of a singular perturbed positive self-adjoint operator with the property of cyclicity of defect vectors. Наведено повний опис точкового спектра оператора Лапласа, збуреного точковими потенціалами, що зосереджені у вершинах правильних багатокутників. Доведено критерій відсутності точок точкового спектра сингулярного збуреного додатного самоспряжепого оператора із властивістю циклічності дефекпшх векторів. Institute of Mathematics, NAS of Ukraine 2004-08-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3827 Ukrains’kyi Matematychnyi Zhurnal; Vol. 56 No. 8 (2004); 1128–1134 Український математичний журнал; Том 56 № 8 (2004); 1128–1134 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/3827/4374 https://umj.imath.kiev.ua/index.php/umj/article/view/3827/4375 Copyright (c) 2004 Dudkin M. Ye. |
| spellingShingle | Dudkin, M. Ye. Дудкін, М. Є. Point spectrum of the schrödinger operator with point interactions at the vertices of regular N-gons |
| title | Point spectrum of the schrödinger operator with point interactions at the vertices of regular N-gons |
| title_alt | Точковий спектр оператора Шредіпгера з точковими взаємодіями у вершинах правильних N-кутників |
| title_full | Point spectrum of the schrödinger operator with point interactions at the vertices of regular N-gons |
| title_fullStr | Point spectrum of the schrödinger operator with point interactions at the vertices of regular N-gons |
| title_full_unstemmed | Point spectrum of the schrödinger operator with point interactions at the vertices of regular N-gons |
| title_short | Point spectrum of the schrödinger operator with point interactions at the vertices of regular N-gons |
| title_sort | point spectrum of the schrödinger operator with point interactions at the vertices of regular n-gons |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3827 |
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