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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
 
Creator Hakobyan, T.
 
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.
 
Date 2019-02-08T20:38:57Z
2019-02-08T20:38:57Z
2010
 
Type Article
 
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
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України