吸引势情况下非线性Schrodinger模型的Green函数

Green’s Function of Nonlinear Schrodinger Model with Attractive Coupling Interaction

本文从吸引势下的非线性Ｓｃｈｒｏｄｎｇｅｒ模型出发，应用Ｙａｐ－Ｂａｘｔｅｒ关系求出了单值矩阵元及产生、消失算符的对易关系；取连续模型的极限近似，求出了单值矩阵元的Ｎｅｕｍａｎｎ级数；给出守恒量和散射态，并讨论了束缚态的问题；在此前提下，推导定域场量，求出了连通的及非连通的四点Ｇｒｅｅｎ函数。

The nonlinear Schrodinger model with attractive coupling interaction is further studied by the quantum inverse scattering method in this paper. Some commutation relations between elements of the monodromy matrix are given by Yang-Baxter equation in which L-operater introduce by Izergin and Korepin is used. The Neumann series of the monodromy matrix are derived. The conserved quantities and scattering states ape obtained in bound states. The connected four-point Green's function and non-connected four-point Green's function are obtained, which are important in Physiscs