On Some Spectral Properties of the Energy Operator for an Infinite System in a Magnetic Field
For systems in a magnetic field, we investigate the form sum of an infinite-dimensional energy operator perturbed by a potential. We also investigate changes in the spectrum of the energy operator in the case of its perturbation by a potential.
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| Datum: | 2004 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch 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/3753 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860509886599659520 |
|---|---|
| author | Samoilenko, V. G. Самойленко, В. Г. Самойленко, В. Г. |
| author_facet | Samoilenko, V. G. Самойленко, В. Г. Самойленко, В. Г. |
| author_sort | Samoilenko, V. G. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:07:09Z |
| description | For systems in a magnetic field, we investigate the form sum of an infinite-dimensional energy operator perturbed by a potential. We also investigate changes in the spectrum of the energy operator in the case of its perturbation by a potential. |
| first_indexed | 2026-03-24T02:48:14Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-3753 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:48:14Z |
| publishDate | 2004 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/1f/23a6aad38168a466746b8b39b39f571f.pdf |
| spelling | umjimathkievua-article-37532020-03-18T20:07:09Z On Some Spectral Properties of the Energy Operator for an Infinite System in a Magnetic Field Некоторые спектральные свойства оператора энергии для бесконечной системы в магнитном поле Samoilenko, V. G. Самойленко, В. Г. Самойленко, В. Г. For systems in a magnetic field, we investigate the form sum of an infinite-dimensional energy operator perturbed by a potential. We also investigate changes in the spectrum of the energy operator in the case of its perturbation by a potential. Досліджено форм-суму збуреного потенціалом нескінченновимірного оператора енергії для систем у магнітному полі. Крім того, досліджено зміну спектра оператора енергії при збуренні його потенціалом. Institute of Mathematics, NAS of Ukraine 2004-02-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3753 Ukrains’kyi Matematychnyi Zhurnal; Vol. 56 No. 2 (2004); 284-289 Український математичний журнал; Том 56 № 2 (2004); 284-289 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/3753/4229 https://umj.imath.kiev.ua/index.php/umj/article/view/3753/4230 Copyright (c) 2004 Samoilenko V. G. |
| spellingShingle | Samoilenko, V. G. Самойленко, В. Г. Самойленко, В. Г. On Some Spectral Properties of the Energy Operator for an Infinite System in a Magnetic Field |
| title | On Some Spectral Properties of the Energy Operator for an Infinite System in a Magnetic Field |
| title_alt | Некоторые спектральные свойства оператора энергии для бесконечной системы в магнитном поле |
| title_full | On Some Spectral Properties of the Energy Operator for an Infinite System in a Magnetic Field |
| title_fullStr | On Some Spectral Properties of the Energy Operator for an Infinite System in a Magnetic Field |
| title_full_unstemmed | On Some Spectral Properties of the Energy Operator for an Infinite System in a Magnetic Field |
| title_short | On Some Spectral Properties of the Energy Operator for an Infinite System in a Magnetic Field |
| title_sort | on some spectral properties of the energy operator for an infinite system in a magnetic field |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3753 |
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