查询词典 ansatz

We present and extend some methods such as the tanh-function method, the Jacobi elliptic function method, the ansatz method and so on.

本文对一些求解方法进行了研究，特别是Lie对称方法，分析并改进了前人的理论和算法，并在计算机符号系统Maple上给出了相应的实现。

By using the ansatz method, we get an exact quantum solution of the system.

通过试探解方法，得到系统的量子力学精确解。

It is found that the R-matrix only permits anAbelian 〓continuous gauge transformation and the energy spectrum isgange invariant whereas the eigenvectors and eigenvalues of transfer matrix as wellas the Bethe ansatz equations are explicitly gauge dependent.

我们发现所得量子R-矩阵不具有〓离散对称性，这种对称性可被认为对模型的R-矩阵及Lax算符施加了一种附加约束，一旦去掉这种对称性，我们就可以得到对含有化学势一维Hubbard模型一种自然描述的量子R-矩阵。

In this dissertation, we construct the Bariev model with nine kinds of boundary fields by the matrices K_± defining the boundaries. And then the Lax operator is given in the form ofmatrix, as well as the basic quantities, e.g., the R -matrix, the monodromy matrices and the transfer matrices are defined. By using the expression of the local Lax operator of the model,the action of the monodromy matrices T, T~(-1), U_ on the pseudo-vacuum state is given outin detail. Furthermore, the main fundamental commutation relations are obtained through the reflection equations, the recursive n-particle state as well as the one-particle exact solution is given and the Bethe ansatz equations are found accordingly. Finally, we list the nesting boundary K matrices, which play a crucial role for obtaining the n-particle solution and finding the Bethe ansatz equations, the eigenvalues of the transfer matrices and the energy spectrum of the system by means of the nested algebraic Bethe ansatz method.

在这篇文章中，我们利用边界K_±矩阵构造出了具有九种边界场的Bariev模型，同时给出了该模型L算子的具体矩阵表示形式，并定义了R矩阵，monodromy矩阵以及转移矩阵；接着利用L算子的矩阵形式，给出了其对应monodromy矩阵T、逆矩阵T~(-1)作用到真空态上的值，并利用Yang-Baxter关系及反射方程得到了双行monodromy矩阵U作用到真空态上的值；然后利用反射方程通过复杂的计算得到了一系列重要的基本对易关系式，并给出了模型的递推的多粒子波函数、单粒子解及Bethe ansat方程；最后给出了模型的嵌套的边界K矩阵的具体形式，从而为运用嵌套Bethe ansatz方法求解该模型的多粒子解、Bethe ansatz方程以及系统的能谱打下了很好的基础。

In order to obtain the rigorous solutions, we often use the algebraical Bethe ansatz method to solve these models.

在求解模型的过程中除了解析Bethe ansatz方法外，最常用的方法就是代数Bethe ansatz方法，这种方法可以严格地给出模型哈密顿量的本征值和相应的Bethe ansatz方程。

In the procedure of solving those open non-six-vertex-liked models, we generalized the algebraical Bethe ansatz method.

同时利用代数Bethe ansatz方法求解了带非对角边界矩阵的XXZ模型。

Keywords: The algebraical Bethe ansatz; open boundary; exact solution; soliton solution

中文关键词：代数Bethe ansatz方法；开边界；精确解；孤子解

The Bethe Ansatz equations and ground-state energy-are calculated. The momenta of the system and the energy spectrum are studied in some special cases.

我们进一步用CBA方法得到模型的Bethe Ansatz方程组及基态能量，并详细研究了系统在极限条件下的能谱和动量。

Using results of this paper and thermodynamical Bethe ansatz method, one can study the thermodynamics of this model under open boundary conditions.

在本文结果的基础上，利用热力学Bethe ansatz方法，可进一步研究此模型的一些热力学性质，如比热、磁化率等。

This paper mainly discuss some analytic and numerical results for one-dimensional SU(2) and SU(3) bosons in periodic boundary condition and in hard well boundary condition by using the Bethe Ansatz method.

本文主要讨论的是通过Bethe Ansatz 来得到一维SU(2)和SU(3)玻色子在周期势和在无限深势阱中的_ 相互作用的一些解析和数值结果。

Chrysanthemum of 10 thousand birthday is lax to edaphic requirement, with the arenaceous qualitative loam with fecund, good drainage had better.

万寿菊对土壤要求不严，以肥沃。排水良好的砂质壤土为好。

He unstepped the mast and furled the sail and tied it.

他拔下桅杆，把帆卷起，系住。