FINDINGS FROM YEREVAN STATE UNIVERSITY IN SCIENCE REPORTED

Journal of Mathematics
April 27, 2010

According to recent research published in the journal Symmetry
Integrability and Geometry – Methods and Applications, "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," wrote T.

Hakobyan and colleagues, Yerevan State University.

The researchers concluded: "The relation with the similar ordering
among the spatial wavefunctions with different symmetry classes of
ordinary quantum mechanics is discussed also."

Hakobyan and colleagues published their study in Symmetry Integrability
and Geometry – Methods and Applications (Ordering of Energy Levels for
Extended SU(N) Hubbard Chain. Symmetry Integrability and Geometry –
Methods and Applications, 2010;6():24).

For additional information, contact T. Hakobyan, Yerevan State
University, Alex Manoogian 1, Yerevan 375049, Armenia.

The publisher’s contact information for the journal Symmetry
Integrability and Geometry – Methods and Applications is: National
Acad Science Ukraine, Institute Math, 3 Tereschchenkiv Ska St.,
Kyiv 4, 01601, Ukraine.