Ordering of Energy Levels for Extended SU(N) Hubbard Chain
Vernadsky National Library of Ukraine
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Title |
Ordering of Energy Levels for Extended SU(N) Hubbard Chain
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Creator |
Hakobyan, T.
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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.
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Date |
2019-02-08T20:38:57Z
2019-02-08T20:38:57Z 2010 |
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Type |
Article
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Identifier |
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 |
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Language |
en
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Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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Publisher |
Інститут математики НАН України
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