研究低维可积系统是当前理论物理，数学物理与凝聚态物理相互交叉热点之一。通过对可积模型的边界（边界场，磁性杂质）效应的研究，探讨系统的各种热力学量，如比热，磁化率等。从而进一步研究系统的临界性质以及可能的表面相变。..

The exact diagonalization of a type of one dimensional system have be solved. The eigenvalues of the Hamiltonians for spin chain systems, Gaudin systems, long range interacting systems and some strongly correlated electron systems are found, and explicit expression of the thermodynamical quantities are also obtained. Some new integrable models are also constructed.