扩展SU（N）Hubbard链的能级排序
Ordering of Energy Levels for Extended SU(N) Hubbard Chain
摘要：
将关于反铁磁能级序的Lieb-Mattis定理推广到具有海森堡交换和对跳跃项的SU（N）扩展哈伯德模型.证明了等价表示态之间的最低能级是非简并的，并按相应的杨氏图的优势序排列。特别地，基态形成唯一的反对称多重态。讨论了普通量子力学中不同对称类的空间波函数之间的相似序关系。
英文摘要：
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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