查询词典 ansatz

The XXZ model with the longitudinal magnetic field can be exactly solved by the Bethe ansatz method, but the similar rigorous solution has not been found in the case with transverse field.

尽管如此，通过Jordan-Wigner 变换，用一种修改了的平均场近似方法，我们可以较为准确地描述这一系统的整个基态相图。

We take sech form ansatz and solve the CNLS equations through variational approach. We obtain the analytical expression of nonlinear coupling term, which is in the lagrangian of CNLS. We apply a potential well model to analyze the interaction properties of self-trapping beams in detail, the results show that the interaction do not change the profile of the beams, two beams keep oscillating around their collective center periodically. The amplitude and period of this oscillation are both determined by initial separation of two beams.

我们采用Sech函数为试探函数，用变分法求解CNLS方程，（1）给出了CNLS方程所对应的拉格朗日中的非线性耦合项的解析表达，（2）利用势阱模型详细分析两自陷光束之间相互作用的特性，结果表明，相互作用没有改变孤子的形态，它们分别在与传播方向垂直的方向上绕它们的公共中心做往复振动，振动幅度及周期都取决于两光束的初始分隔。

We compare the results with the analytic results from the weak coupling limit and the strong coupling limit. As an extension, when think about the dispersion relations for SU(2) trapped bosons, we find that we can not get the inverse effective mass directly from the dispersion relations of the holon-isospin excitation for the wave function from Bethe equation is not the eigenstate wave function of the total momentum.

作为推广，我们还研究了无限深势阱中SU(2)玻色子的各类激发态的色散关系，发现由于直接的Bethe Ansatz 波函数不是总动量的本征态，所以不同通过直接的色散关系来给出质量有效质量比。

Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

I am coming just now,' and went on perfuming himself with Hunut, then he came and sat.

我来只是现在，'歼灭战perfuming自己与胡努特，那麼，他来到和SAT 。