电流密度场叠加原理及其应用

电流密度矢量场也满足叠加原理,给出了一些应用电流密度场叠加原理的例子.     

再谈态叠加原理

讨论了量子力学里态叠加原理的物理含义,并评论了国内外流行的几种教材中的一些不同讲法。     

谈谈量子力学中的状态叠加原理

以对话的形式,介绍并评论了布洛欣采夫、狄拉克以及朗道和栗弗席茨关于状态叠加原理的不同表述.     

关于量子力学中态叠加原理的讨论

讨论了量子力学中态叠加原理的意义,评论了它的不同表述和解说,并且以简单明了的语言来叙述这一原理．     

关于态叠加原理的认同与争议

给出了不同学者关于量子力学态叠加原理的几种表述,分析比较了关于该原理的有关观点的争议,并对其中的原因进行了讨论。     

离子溅射的微区叠加原理

荷能离子轰击固体表面在往使表面产生特定的结构，因而改变溅射总产额和微分产额。这些变化是由于表面结构改变而引起的几种效应，例如弹离子入射角、形貌对发射粒子的屏蔽以及合金表面元素按微区局域富集等的影响而产生的，本文发展了一种考虑上述诸效应的理论方法，并详细讨论该方法在元素（Ｃｄ）和合金（Ａｌ_xSn_{１００－x}）靶实验微分产额方面的应用。 关键词：     

浅析“叠加原理”的意义及作用——小教大专物理教材叠加原理问题探讨

探讨小教大专物理教材中“叠加原理”的意义和作用。     

以叠加原理为纲统帅传统光学

以叠加原理为纲为组织普通物理中传统光学部分的教学，理顺了光学各部分之间的关系，增加了系统性，既提高了教学质量又节省了学时，为在普物光学教学中增加现代光学内容创造了条件。     

力和电场强度叠加原理的相对论分析

本文用狭义相对论分别分析了力和电场强度的叠加原理。     

双粒子双缝干涉实验与态叠加原理

主要介绍了双粒子双缝干涉实验以及其有关的一些物理现象，概念和实验结果。     

Linear superposition solutions to nonlinear wave equations

The solutions to a linear wave equation can satisfy the principle of superposition,i.e.,the linear superposition of two or more known solutions is still a solution of the linear wave equation.We show in this article that many nonlinear wave equations possess exact traveling wave solutions involving hyperbolic,triangle,and exponential functions,and the suitable linear combinations of these known solutions can also constitute linear superposition solutions to some nonlinear wave equations with special structural characteristics.The linear superposition solutions to the generalized KdV equation K(2,2,1),the Oliver water wave equation,and the k(n,n) equation are given.The structure characteristic of the nonlinear wave equations having linear superposition solutions is analyzed,and the reason why the solutions with the forms of hyperbolic,triangle,and exponential functions can form the linear superposition solutions is also discussed.     

Linear superposition method for （2＋1）-dimensional nonlinear wave equations

New forms of different-periodic travelling wave solutions for the (2+1)-dimensional Zakharov--Kuznetsov (ZK) equation and the Davey--Stewartson (DS) equation are obtained by the linear superposition approach of Jacobi elliptic function. A sequence of cyclic identities plays an important role in these procedures.     

振幅指数衰减正弦干涉信号线性预测模型的求解

在光谱成像的光谱分辨率增强技术中,对振幅衰减干涉信号的线性预测是其中的关键之一.文中在已知振幅指数衰减正弦干涉信号的个数、波数和衰减率的前提下,给出了线性预测系数直接计算公式及其前向线性预测系数与后向线性预测系数之间的关系;定义了该类正弦迭加信号的前向和后向线性可预测性条件.研究结果表明,振幅指数衰减的正弦迭加信号的前向和后向线性预测系数不再是简单的共轭对称关系了,但是二者依然是有联系的.该研究为一般的衰减干涉信号的光谱分辨率增强算法提供了理论基础. 关键词： 光谱分辨率增强 线性预测 可预测条件 预测系数     

Cluster exponential synchronization of a class of complex networks with hybrid coupling and time-varying delay

This paper deals with the cluster exponential synchronization of a class ot complex networks wlm nyorm coupm~g and time-varying delay. Through constructing an appropriate Lyapunov-Krasovskii functional and applying the theory of the Kronecker product of matrices and the linear matrix inequality （LMI） technique, several novel sufficient conditions for cluster exponential synchronization are obtained. These cluster exponential synchronization conditions adopt the bounds of both time delay and its derivative, which are less conservative. Finally, the numerical simulations are performed to show the effectiveness of the theoretical results.     

Linear matrix inequality approach to exponential synchronization of a class of chaotic neural networks with time-varying delays

In this paper, a synchronization scheme for a class of chaotic neural networks with time-varying delays is presented. This class of chaotic neural networks covers several well-known neural networks, such as Hopfield neural networks, cellular neural networks, and bidirectional associative memory networks. The obtained criteria are expressed in terms of linear matrix inequalities, thus they can be efficiently verified. A comparison between our results and the previous results shows that our results are less restrictive.     

Novel criteria for exponential synchronization of inner time-varying complex networks with coupling delay

This paper mainly investigates the exponential synchronization of an inner time-varying complex network with coupling delay. Firstly, the synchronization of complex networks is decoupled into the stability of the corresponding dynamical systems. Based on the Lyapunov function theory, some sufficient conditions to guarantee its stability with any given convergence rate are derived, thus the synchronization of the networks is achieved. Finally, the results are illustrated by a simple time-varying network model with a coupling delay. All involved numerical simulations verify the correctness of the theoretical analysis.     

Superposition rules, lie theorem, and partial differential equations

A rigorous geometric proof of the Lie theorem on nonlinear superposition rules for solutions of nonautonomous ordinary differential equations is given filling in all the gaps present in the existing literature. The proof is based on an alternative but equivalent definition of a superposition rule: it is considered as a foliation with some suitable properties. The problem of uniqueness of the superposition function is solved, the key point being the codimension of the foliation constructed from the given Lie algebra of vector fields. Finally, as a more convincing argument supporting the use of this alternative definition of superposition rule, it is shown that this definition allows an immediate generalization of the Lie theorem for the case of systems of partial differential equations.     

A fluctuation theorem for Floquet quantum master equations

We present a fluctuation theorem for Floquet quantum master equations. This is a detailed version of the famous Gallavotti–Cohen theorem. In contrast to the latter theorem, which involves the probability distribution of the total heat current, the former involves the joint probability distribution of positive and negative heat currents and can be used to derive the latter. A quantum two-level system driven by a periodic external field is used to verify this result.     

Exact solutions for four coupled complex nonlinear differential equations

In this paper, exact solutions are derived for four coupled complex nonlinear different equations by using simplified transformation method and algebraic equations.