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Ordering of Energy Levels for Extended SU(N) Hubbard Chain
Репозиторій DSpace/Manakin
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- Фізико-технічні та математичні науки
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- Відділення математики
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6
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- Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6, випуск за цей рік
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Ordering of Energy Levels for Extended SU(N) Hubbard Chain
Інший ID:
2010 Mathematics Subject Classification: 81R05; 82D40; 82B20
DOI:10.3842/SIGMA.2010.024
DOI:10.3842/SIGMA.2010.024
Посилання:
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.
Підтримка:
This paper is a contribution to the Proceedings of the XVIIIth International Colloquium on Integrable Systems and Quantum Symmetries (June 18–20, 2009, Prague, Czech Republic). The full collection is available at http://www.emis.de/journals/SIGMA/ISQS2009.html.
The author is grateful to E. Chubaryan and R. Avagyan for simulating discussions. This work was supported by the grants UC-06/07, ANSEF 2229-PS, and Volkswagen Foundation of Germany
Дата:
2010
Переглядів:
481
Завантажень:
223
Анотація:
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.
