Transmission coefficient of electron tunneling through rectangular barrier has been calculated based on the exact solution of the one - dimensional time - independent schr ? dinger equation with the transfer matrix method ; furthermore , the dependence of the transmission coefficient on the effective masses and parameters of rectangular barrier also has been studied 摘要利用传递矩阵方法精确计算了一维定态薛定谔方程，求解出电子穿过矩形势垒的透射系数，进一步研究了该透射系数与有效质量和矩形势垒参数的关系。
Secondly , functional derivation is employed to analyze the two - dimensional colored noise in the third order laser model with dispersive medium . the stationary intensity distribution is derived . the variation of the most probable intensity with pump parameter and noise intensity correlation time is investigated 其次从色散型介质中三次激光模型出发，通过泛函导数，应用小近似计算两维色噪声，得到激光场定态强度分布，研究了定态强度分布的极值点随抽运参量和强度噪声相关时间的变化情况。
Secondly , combining the unified colored noise approximation and the functional analysis , the steady state distribution function is derived when both multiplicative colored noise and additive white noise are included in a bistable system with colored coupling between two kinds of noise . through the two - state theory , the expression of signal - to - noise ratio ( snr ) is obtained . the phenomenon of stochastic resonance is investigated 其次，我们综合运用统一色噪声近似和泛函近似的方法，推导了含有乘性色噪声和加性白噪声，并且两种噪声之间的耦合为色噪声的双稳非线性系统的定态分布摘要不同类型的色噪声对非线性光学系统的影响函数，然后通过双态理论求出系统信噪比的解析表达式，对系统的随机共振现象进行分析。
This paper analyzed the relationship between the model space , initial models , local minimization solutions , global minimization solution etc . in the geophysical inverse problem and the state space , particle state , stationary state , excited states , ground state etc . in the atomic transition based on the similarity of the procedure of iterative optimization for geophysical inverse problem and those for atomic transition 摘要详细研究了一般地球物理反问题的迭代优化求解过程与物理学中原子跃迁过程的对应关系，建立了反演问题中模型空间、初始模型、局部极值模型、最优化模型等与原子的态空间、定态、激发态、基态等的对应关系。
The cnn with based - term will be restudieiin chapter 3 . under certain parameters , the stationary solutions " iteration map is topological conjugate to a beruonulli shift of certain symbolic space . moreover , the spatial entropy function of the map is two - dimensional and can be obtained explicitly as a space devil - staircase 在本文第三部分，我们在阈值非零的情况下，重新对其定态解诱导的一维迭代映射进行了细致分析，得知在不同的参数范围内，迭代映射拓扑共轭于不同的符号空间的有限子移位。
Abstract : three - dimensional , time - dependent , compressible fluid flow problems have been studied with the finite volume scheme based upon an arbitrary lagrangian - eulerian scheme . a general program for arbitrary mesh has been developed . this program can be used to the fluid flow with arbitrary shape boundary condition and moving boundary condition . as an example , the fluid flow in a simple tundish is calculated , and the time - dependent fluid flow distribution is given out 文摘:在欧拉与拉格朗日耦合的框架下，利用有限体积法对非定态三维可压缩流体流动问题给予研究，开发了一般网格下的通用计算程序.该程序适用于计算复杂几何边界条件、运动边界条件等情况下流体流动问题.作为例子，计算了简单中间包内流体的流动情况，给出了随时间变化的流场分布
Taking the ceramics and pottery sculptures on display in the t . t . tsui gallery of chinese art as a reference , the tutor will introduce the characteristic features of chinese ceramics and pottery sculptures . what s more , the tutor will also demonstrate the techniques of pitching , modelling and stabilizing ceramic sculptures 导师将以徐展堂中国艺术馆内陶瓷展品为蓝本，介绍陶塑艺术的特色，教导长者手陶泥，塑形定态的基本技巧，引导长者发挥创意潜能，亲手做出独一无二，具观赏价值的陶塑作品。
The analytical solutions of the gain , dispersion and population difference in the steady state of an open ladder lasing without inversion ( lwi ) system are at first given when the phase fluctuation of the driving field is considered . then the effects of the driving field phase fluctuation on the gain , dispersion and population difference are analyzed by the numerical results from the analytical solutions . our research shows that the phase fluctuation of the driving field will results in a finite line width ; with the line width increasing , the gain decreases monotonously , however , variation of the dispersion isn ? t monotonous , it has a maximum value when the line width takes some value ; the line width varying can ? t lead to change lasing from without to with population inversion 给出了有驱动场位相涨落的开放的梯型无粒子数反转激光( lwi )系统增益、色散和布居数差的定态解析解,进而用得到的数值计算结果分析了驱动场位相涨落对增益、色散和布居数差的影响.研究结果表明,驱动场位相涨落将导致有限线宽;随着线宽的增加,系统增益单调地减小,但系统色散的变化并不是单调的,当线宽取某个值时,色散有极大值;线宽的变化不能导致无反转激光向反转激光的转变
5 . the micro - crack fracture expansive process of adherence of new and old concrete is analyzed by means of chaos theory . the result shows that the stable extension , bifurcate and unstable extension of original micro - crack fracture is coincidence with model of the stationary state zone , bifurcate zone and chaos zone of double periodic bifurcate theory of chaos 用混沌理论分析了新老混凝土粘结界面断裂损伤微裂缝动态扩展过程，界面层原始微裂缝的稳定、稳定扩展和失稳扩展的动态扩展过程与混炖理论中倍周期分叉的定态区、分叉区和混饨区模型相符合。
As to the former , we mainly use the definition of stability to prove it directly , first , analysing the eigenvalues of coefficient matrix of the stationary solutions in each subregion , then , affirming the existence and stability of the equilibrium point . for the latter , the complete stability is guarantee 对于前者，主要是直接运用稳定性的定义，分析各子区域定态解系数矩阵的特征值，然后再确定平衡点的存在性及稳定性。对于后者，则通过构造lyapunov函数来得到系统的完全稳定性。
