势的

Utilizing wave function expansion method, all of the potential functions of scattered waves are transformed into one coordinate system with the aid of Graff's addition theorem.

使用波函数展开法，利用一组圆柱坐标系统和Graff加法转换定理，将散射波势函数的表达式变换到同一个坐标系。

The potential produced by a charge distribution on the self affine set and its analytic properties are studied.

研究了关于自仿集上电荷分布的势论及有关分析性质。

The main work can be summed up as follows: Firstly, we studied the thermal-field properties of VCSELs, and analyzed the influences of current spreading, material parameters and operating conditions on the temperature distributions. Secondly, we began with the electrode voltage and calculated the equipotential s distributions, compared the distributions of voltages and current densities in different depths of VCSELs, and then studied the influences of the oxide-confining region with different position or thickness, and the different sizes of the gain-guided aperture and emitting window on the distributions of the injected current density, carrier concentration and temperature in the active region. Thirdly, we realized the coupling of electricity, optical and thermal-fields, worked out the threshold voltage, calculated the distributions of the injected current density, carrier concentration and temperature under different offset voltages, and analyzed the impacts of temperature profile and carrier density on the refractive index, Fermi levels and optical-field. Finally, we gave the equipotential line distributions with considering N-DBR and double oxidized-confining regions, and analyzed theinfluences of N-DBR and double oxide-confining regions on the distributions of the current density, carrier concentration, temperature and optical-field.

具体工作可以概括如下：首先，研究了VCSEL的热场特性，分析了电流扩展，材料参数和工作条件对于温度分布的影响；其次，从电极电压入手，计算出激光器中的等势线分布，并对不同深度处的电压和电流分布进行比较，研究了高阻区的不同位置和不同厚度、限制层和出射窗口半径的大小对电流密度、载流子浓度和温度分布的影响；再次，实现了电、光、热耦合，求出了阈值电压，计算了不同偏置电压下的电流密度分布、载流子浓度分布和热场分布，分析了温度和载流子浓度变化对折射率、费米能级和光场的影响；最后，给出了考虑N-DBR和双氧化限制层时激光器中的等势线分布，分析了N-DBR和双氧化限制层对VCSEL电流密度、载流子浓度、温度和光场分布的影响。

Based on parameter free interionic potentials of the Gordon Kim modified electron gas formalism extended to molecular ions, the structure phase transitions in ionic molecular solids of the perovskites ABX 3 are discussed, which take the results of molecular dynamics simulations of KCaF 3 as an example.

基于无调节参数的Gordon－Kim势和一种检测离子运动的新技术，以KCaF3的分子动力学模拟结果为例，对钙钛矿ABX3的离子分子固体的结构相变作了探讨。包括对阱势、折叠结构、能垒、超离子态、稳定性骨架和离子分子集团BX6的"尺寸"和"形状"。以期对离子分子固体的结构相变有一个基本了解

Base on the threshold voltage model presented, an intrinsic drain current model in strong inversion region is developed, which can describe the short-channel effects such as DIBL and charge-sharing effect well, and give special considerations for mobility, velocity saturation, channel length modulation and quantum effect. Based on the front interface surface potential model, a formula of unified inversion charge is derived, and an intrinsic drain current model in middle inversion region is developed.

利用所提出的深亚微米FD器件正、背界面表面势模型，建立了一个能够完整描述深亚微米FD器件本征亚阈漏电流特性的模型，能够准确地描述DIBL效应和背沟道漏电效应；利用所提出的阈值电压模型，建立了深亚微米全耗尽器件的本征强反型电流模型，很好地描述包括DIBL效应、电荷分配效应在内的小尺寸效应，对迁移率、速度饱和效应、沟道长度调制效应和量子效应进行了特别的考虑；利用所提出的深亚微米FD器件正界面表面势模型，推导了统一反型层电荷公式，建立了深亚微米FD器件的本征中反型漏电流模型。

Covalent bond, ionic bond, metallic interaction and Van der Waals force. Different potentials can be constructed according to the different interactions. For different types of phenomena of some interaction, different potentials can also be constructed. So, a great variety of potentials can be found in literature.

可依据不同类型的相互作用如共价键、离子键、金属键和Van der Waals力等构建不同类型的原子间相互作用势，而且同一类型的相互作用也因所处理的性质或过程(如体积、表面、团簇、缺陷等)不同所采用的形式也不相同，这样就构建了大量的各种形式的原子间相互作用势。

It is also found that if the monatomic model of Johnson is used the pair potential constructed by the former method can give correct heats of solution.

发现如果采用第三章的模型作为单种原子的埋入原子法模型，则由前者构造的合金对势V〓不能给出正确的溶解热，而由后者构造的合金对势V〓却能给出基本正确的超结构的晶格常数、体模量和结合能。

Simultaneity, the adsorption energies of single Si adatom on the H-terminated Si (100) surfaces are specially mapped out in this paper, from which the favorite binding sites and possible diffusion pathways have been achieved. The variety of the diffusion anisotropy with the coverage transforming is obtained. The energy barriers of the adatom diffusion are found to be higher than that on the clean surface, because the H atoms saturate the dangling bonds of the surface Si atoms.

同时，本文研究了附加硅原子在理想H-terminated Si(100)表面的沉积扩散行为，计算得到了一系列沉积点和可能的扩散路径；讨论分析了扩散行为的各向异性以及氢覆盖率对各向异性影响的规律，并且发现附加硅原子在H-terminated Si(100)表面上的扩散势垒比在清洁Si(100)表面上的高，我们认为这主要是因为氢原子饱和了表面上硅原子的悬挂键，提高了扩散势垒。

According the experiential formulas of headbox to design the stepped diffuser headbox's geometry parameters. Supposing Paper suspension flow as potential flow and basing on hydrokinetic and computational fluid dynamics theories, we can solve the elliptoid partial differential equations which are followed by the flow functions and the potential functions by finite element method and simulate the flow's speed distribution with pde toolbox of matlab software. The simulate results and the flow analysis have good precision.

按照流浆箱的经验设计公式，设计阶梯扩散式流浆箱的各组件几何参数，以流体动力学、计算流体力学等理论为基础，假定浆流的流动为势流，采用有限元法求解浆流流动时其流函数和速度势函数所符合的椭圆型偏微分方程，应用matlab软件的偏微分方程工具包pde toolbox，模拟出所设计的流浆箱各组件内的浆流的流场流速分布，模拟结果与数值计算流动分析结果吻合。

Corresponding to the long-lasting El Nio event, cyclonic anomalous circulation over the eastern North Pacific weakens slowly and anticyclonic anomalous circulation over the western North Pacific strengthens slowly at 850 hPa. Therefore the tropical Pacific westerly anomaly keeps long. The anomalous positive velocity potential over the western South Pacific at 200 hPa, which is related to the strong Australian winter monsoon, helps a long duration of El Nio. Corresponding to the short-lasting El Nio, the anomalous positive velocity potential over the western Pacific at 200 hPa moves eastward quickly and results in the vanishing of El Nio event.

还发现对于持续时间较长的El Nio事件，东北太平洋上850hPa异常气旋性环流减弱和西北太平洋上异常反气旋性环流增强较慢，因此赤道太平洋异常西风维持的时间也较长，而与澳大利亚冬季风加强相关联的南半球西太平洋的速度势正距平的维持，对El Nio的持续也起一定作用；对应持续时间较短的El Nio事件，西太平洋上200hPa速度势正距平的迅速东移，对El Nio的迅速消亡起重要作用。

What would he tell Judith and the children?

他将怎样告诉朱迪丝和孩子们呢？

I this is at that time, the opinion with peacockish true girl is full of in a heart.

这就是当时的我，一个心中布满虚荣的女孩子真实的想法。