Periodic Gibbs states
Periodic Gibbs states for quantum lattice systems are investigated. We formulate the definition of the periodic Gibbs states and the measures associated with them. Theorems of existence are proved for these states. We also prove the existence of the critical temperature for the system of anharmonic...
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| Date: | 1993 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Russian English |
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Institute of Mathematics, NAS of Ukraine
1993
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5831 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512052323287040 |
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| author | Barbulyak, V. S. Kondratiev, Yu. G. Барбуляк, В. С. Кондратьев, Ю. Г. Барбуляк, В. С. Кондратьев, Ю. Г. |
| author_facet | Barbulyak, V. S. Kondratiev, Yu. G. Барбуляк, В. С. Кондратьев, Ю. Г. Барбуляк, В. С. Кондратьев, Ю. Г. |
| author_sort | Barbulyak, V. S. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:18:55Z |
| description | Periodic Gibbs states for quantum lattice systems are investigated. We formulate the definition of the periodic Gibbs states and the measures associated with them. Theorems of existence are proved for these states. We also prove the existence of the critical temperature for the system of anharmonic quantum oscillators with pairwise interaction. |
| first_indexed | 2026-03-24T03:22:39Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5831 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:22:39Z |
| publishDate | 1993 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/54/936763f141b5bb95799733190fad8c54.pdf |
| spelling | umjimathkievua-article-58312020-03-19T09:18:55Z Periodic Gibbs states Периодические гиббсовские состояния Barbulyak, V. S. Kondratiev, Yu. G. Барбуляк, В. С. Кондратьев, Ю. Г. Барбуляк, В. С. Кондратьев, Ю. Г. Periodic Gibbs states for quantum lattice systems are investigated. We formulate the definition of the periodic Gibbs states and the measures associated with them. Theorems of existence are proved for these states. We also prove the existence of the critical temperature for the system of anharmonic quantum oscillators with pairwise interaction. Получены результаты для периодических гиббсовских состояний квантовых решеточных систем. Сформулированы определения периодических гиббсовских состояний и соответствующих им мер, доказаны теоремы существования этих состояний и теоремы существования критической температуры для системы ангармонических квантовых осцилляторов с попарным воздействием. Institute of Mathematics, NAS of Ukraine 1993-04-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5831 Ukrains’kyi Matematychnyi Zhurnal; Vol. 45 No. 4 (1993); 451–458 Український математичний журнал; Том 45 № 4 (1993); 451–458 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5831/8345 https://umj.imath.kiev.ua/index.php/umj/article/view/5831/8346 Copyright (c) 1993 Barbulyak V. S.; Kondratiev Yu. G. |
| spellingShingle | Barbulyak, V. S. Kondratiev, Yu. G. Барбуляк, В. С. Кондратьев, Ю. Г. Барбуляк, В. С. Кондратьев, Ю. Г. Periodic Gibbs states |
| title | Periodic Gibbs states |
| title_alt | Периодические гиббсовские состояния |
| title_full | Periodic Gibbs states |
| title_fullStr | Periodic Gibbs states |
| title_full_unstemmed | Periodic Gibbs states |
| title_short | Periodic Gibbs states |
| title_sort | periodic gibbs states |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5831 |
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