Ordering of Energy Levels for Extended SU(N) Hubbard Chain
The Lieb-Mattis theorem on the antiferromagnetic ordering of energy levels is generalized to SU(N) extended Hubbard model with Heisenberg exchange and pair-hopping terms. It is proved that the minimum energy levels among the states from equivalent representations are nondegenerate and ordered accord...
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| Видавець: | Інститут математики НАН України |
|---|---|
| Дата: | 2010 |
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2010
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146318 |
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| Цитувати: | Ordering of Energy Levels for Extended SU(N) Hubbard Chain / T. Hakobyan // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 30 назв. — англ. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1463182019-02-09T01:23:16Z Ordering of Energy Levels for Extended SU(N) Hubbard Chain Hakobyan, T. The Lieb-Mattis theorem on the antiferromagnetic ordering of energy levels is generalized to SU(N) extended Hubbard model with Heisenberg exchange and pair-hopping terms. It is proved that the minimum energy levels among the states from equivalent representations are nondegenerate and ordered according to the dominance order of corresponding Young diagrams. In particular, the ground states form a unique antisymmetric multiplet. The relation with the similar ordering among the spatial wavefunctions with different symmetry classes of ordinary quantum mechanics is discussed also. 2010 Article Ordering of Energy Levels for Extended SU(N) Hubbard Chain / T. Hakobyan // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 30 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 81R05; 82D40; 82B20 DOI:10.3842/SIGMA.2010.024 http://dspace.nbuv.gov.ua/handle/123456789/146318 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
The Lieb-Mattis theorem on the antiferromagnetic ordering of energy levels is generalized to SU(N) extended Hubbard model with Heisenberg exchange and pair-hopping terms. It is proved that the minimum energy levels among the states from equivalent representations are nondegenerate and ordered according to the dominance order of corresponding Young diagrams. In particular, the ground states form a unique antisymmetric multiplet. The relation with the similar ordering among the spatial wavefunctions with different symmetry classes of ordinary quantum mechanics is discussed also. |
| format |
Article |
| author |
Hakobyan, T. |
| spellingShingle |
Hakobyan, T. Ordering of Energy Levels for Extended SU(N) Hubbard Chain Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Hakobyan, T. |
| author_sort |
Hakobyan, T. |
| title |
Ordering of Energy Levels for Extended SU(N) Hubbard Chain |
| title_short |
Ordering of Energy Levels for Extended SU(N) Hubbard Chain |
| title_full |
Ordering of Energy Levels for Extended SU(N) Hubbard Chain |
| title_fullStr |
Ordering of Energy Levels for Extended SU(N) Hubbard Chain |
| title_full_unstemmed |
Ordering of Energy Levels for Extended SU(N) Hubbard Chain |
| title_sort |
ordering of energy levels for extended su(n) hubbard chain |
| publisher |
Інститут математики НАН України |
| publishDate |
2010 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146318 |
| citation_txt |
Ordering of Energy Levels for Extended SU(N) Hubbard Chain / T. Hakobyan // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 30 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT hakobyant orderingofenergylevelsforextendedsunhubbardchain |
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2023-05-20T17:24:05Z |
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2023-05-20T17:24:05Z |
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1796153214410686464 |