微扰方法

词组短语

perturbation method

与微扰方法相关的网络例句 [注：此内容来源于网络，仅供参考]

In this paper,a systematic direct perturbation method of dark solitons is found.Having analyzed the mistakes in earlier works on perturbation method for dark solitonsand essence of the direct perturbation method for bright solitons,we notice that to in-troduce the adjoint solutions of the squared Jost solutions and to prove the completenessare crucial to the problem.Giving up the unnecessary scheme of introducing the adjointoperator in the bright soliton case,we directly find the adjoint solutions by meetingthe demand for the orthogonality that inner product of the squared Jost solutions andits adjoint should be proportional to a δ function in the case of continuous spectra.The corresponding adjoint operator is thus found.Taking into account the reductiontransformation,we find a correct description for the completeness of the squared Jostsolutions and directly verify its validity with explicit expressions of the squared Jostsolutions.

本论文建立了系统的暗孤子直接微扰方法，在对前人关于暗孤子微扰方法的错误以及亮孤子直接微扰方法的本质作了充分的分析后，认识到引入平方Jost解的伴随解和证明完备性是问题的关键，撇开过去亮孤子情况首先引入伴随算子的非必要作法，直接从平方Jost解与其伴随解的内积在连续谱时正比于δ函数这一正交性要求出发，找出了伴随解，同时得出了应有的伴随算子，在考虑到约化变换性后，得到了暗孤子情况的平方Jost解的完备性的正确表述，并在单个暗孤子的情况利用平方Jost解的显式直接验证了它的正确性。

Instead of the empirical direct substitution method used in former harmonic ex- pansion method for the generation of perturbation base function s,a more rigorous 1~or- der perturbation method was proposed to generate the perturbation base function s.

针对文献提出的用于换料方案快速评价的低阶谐波展开法，提出用一阶微扰方法来替代原先经验性的扰动基函数产生方法，从而使低阶谐波展开法的理论更完善、适用性更广、精度更高。

In part two, the optical spatiotemporal pattern in ring optic cavity is investigated. Using delay feedback with spatial perturbation method, the system shows roll, square, hexagon, homocentric circle,"honeycomb"and"snowflower" pattern with different spatial perturbation functions. Different patterns can be coexist and compete each other with the same perturbation function, which is the new character of this optical system with delay feedback.

第二部分，利用延时反馈的空间微扰方法研究了环形腔中二能级介质的光学时空斑图的控制，在不同的微扰函数作用下，出现了滚筒状、四方形、六角形、蜂窝状、同心圆以及"雪花"状等不同的斑图，并且在相同的微扰函数下出现了不同斑图之间的竞争，这种竞争是我们发现的这一具有空间微扰的延时反馈非线性光学系统光学斑图的新特征。

The on-line density measurement technology with microwave has been narrated as a key part. We has deduced relations between permittivity、the load Q-factor and resonant frequency. And the electromagnetic field for closed cavity 、open cavity has been analyzed. we also discuss the design of cavity that is used in experiment、means for how to stir electromagnetic wave and choice of diameter/length ratio for cavity.

接着重点说明了微波在线密度测量原理，基于麦克斯韦方程组深入推导了微扰情况下介电常数与谐振频率，有载品质因数的关系；分别讨论了封闭谐振腔和开孔谐振腔中的电磁场以及微扰方法中所使用的谐振腔的设计及设计中激励方式、腔长/半径的选择等若干关键问题。

Chapter Ⅱ reviews the general theory of Stark effect from our point of view. We describe three kinds of theoretical approaches about the treatment of ac Stark effect, which are time-dependent perturbation theory in semiclassical argument; Rabi methods in the semiclassical theory; dressedstate approach---quantum treatment of the light field. We also compare and discuss their scope of application.

第二章从我们自己的观点出发，总结了理论研究ac Stark效应的三种不同的方法：半经典的与时间有关的微扰方法；半经典的Rabi方法；对光场进行量子化处理的Dress态理论方法，比较并讨论了这三种方法各自的适用范围。

In part two, the optical spatiotemporal pattern in ring optic cavity is investigated. Using delay feedback with spatial perturbation method, the system shows roll, square, hexagon, homocentric circle,"honeycomb"and"snowflower" pattern with different spatial perturbation functions. Different patterns can be coexist and compete each other with the same perturbation function, which is the new character of this optical system with delay feedback.

第二部分，利用延时反馈的空间微扰方法研究了环形腔中二能级介质的光学时空斑图的控制，在不同的微扰函数作用下，出现了滚筒状、四方形、六角形、蜂窝状、同心圆以及&雪花&状等不同的斑图，并且在相同的微扰函数下出现了不同斑图之间的竞争，这种竞争是我们发现的这一具有空间微扰的延时反馈非线性光学系统光学斑图的新特征。

Three kinds of perturbation methods for nondegenerate quantum system are briefly introduced and compared applying to a simple model.

简要介绍了量子力学中三种定态微扰方法：一是通常的Rayleigh -Schr¨odinger微扰，但其缺点是高阶微扰项的表达式很繁，且无一般的通项公式。

It is thus concluded that not only perturbative method but also T-matrix approach can be used to deal with the nonlinear AC response.

除了微扰方法，T-矩阵方法也是研究稀释极限体系非线性交流响应的一个行之有效的方法。

Since perturbative methods are not valid in the strong coupling region ofquantum ...

量子场论的强耦合区性质，由于微扰论不适用，必须用非微扰方法来研究。

Since perturbative methods are not valid in the strong coupling region ofquantum field theory,one must use the non-perturbative methods which is hardand await further development.

量子场论的强耦合区性质，由于微扰论不适用，必须用非微扰方法来研究。

与微扰方法相关的网络解释 [注：此内容来源于网络，仅供参考]

perturbation function：扰动函数

perturbation frequency 扰动频率 | perturbation function 扰动函数 | perturbation method 摄动方法,微扰方法