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Ordering of Energy Levels for Extended SU(N) Hubbard Chain
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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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| dc.contributor.author | Hakobyan, T. | |
| dc.date.accessioned | 2019-02-08T20:38:57Z | |
| dc.date.available | 2019-02-08T20:38:57Z | |
| dc.date.issued | 2010 | |
| dc.identifier.citation | 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. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 81R05; 82D40; 82B20 | |
| dc.identifier.other | DOI:10.3842/SIGMA.2010.024 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/146318 | |
| dc.description.abstract | 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. | uk_UA |
| dc.description.sponsorship | 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 | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | Ordering of Energy Levels for Extended SU(N) Hubbard Chain | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
