The Gross-Pitaevskii Model of Spinor BEC
The Gross-Pitaevskii model of spinor Bose-Einstein condensates is studied. Using the abstract results obtained for infinite-dimensional Hamilton system, we establish the mathematical theory for the model of spinor BEC. Furthermore, three conservative quantities of spinor BEC, that is, the energy, to...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/757616 |
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| _version_ | 1850175462323519488 |
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| author | Dongming Yan Tian Ma |
| author_facet | Dongming Yan Tian Ma |
| author_sort | Dongming Yan |
| collection | DOAJ |
| description | The Gross-Pitaevskii model of spinor Bose-Einstein condensates
is studied. Using the abstract results obtained for infinite-dimensional
Hamilton system, we establish the mathematical theory for the model of
spinor BEC. Furthermore, three conservative quantities of spinor BEC, that is, the energy, total particle number, and magnetization intensity, are also proved. |
| format | Article |
| id | doaj-art-c00ed6e821b741f09a9f0a2a31f7055b |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-c00ed6e821b741f09a9f0a2a31f7055b2025-08-20T02:19:27ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/757616757616The Gross-Pitaevskii Model of Spinor BECDongming Yan0Tian Ma1Department of Mathematics, Sichuan University, Chengdu 610064, ChinaDepartment of Mathematics, Sichuan University, Chengdu 610064, ChinaThe Gross-Pitaevskii model of spinor Bose-Einstein condensates is studied. Using the abstract results obtained for infinite-dimensional Hamilton system, we establish the mathematical theory for the model of spinor BEC. Furthermore, three conservative quantities of spinor BEC, that is, the energy, total particle number, and magnetization intensity, are also proved.http://dx.doi.org/10.1155/2012/757616 |
| spellingShingle | Dongming Yan Tian Ma The Gross-Pitaevskii Model of Spinor BEC Journal of Applied Mathematics |
| title | The Gross-Pitaevskii Model of Spinor BEC |
| title_full | The Gross-Pitaevskii Model of Spinor BEC |
| title_fullStr | The Gross-Pitaevskii Model of Spinor BEC |
| title_full_unstemmed | The Gross-Pitaevskii Model of Spinor BEC |
| title_short | The Gross-Pitaevskii Model of Spinor BEC |
| title_sort | gross pitaevskii model of spinor bec |
| url | http://dx.doi.org/10.1155/2012/757616 |
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