势散射

The potential functions of incident and scattered waves were expanded into Fourier-Bessel series, and the coefficients of scattering waves field were determined by imposing continuity conditions of stress and displacement at the soil-pile interfaces with the help of a set of cylindrical coordinate systems and in accordance with the Graff's addition theorem.

将倾斜入射波和散射坡的势函数展开成Fourier-Bessel函数的无穷级数的形式，利用一组圆柱坐标系统和Graff加法转换定理，通过施加桩土界面处的应力和位移连续的边界条件，求解出散射波势函数的待定系数，进而得到饱和土体中任意点的位移和应力。

So the absolute differential cross sections of e-Ar scattering are calculated with some different potential models by applying the Second-order Born approximation theory, respectively.

接下来，利用二阶玻恩近似方法，计算了不同原子势模型下激光场中电子被氩原子散射的散射截面并与相关实验进行了比较。

We fit the anisotropic interaction potential based on the Murrell-Sorbie potential function for He-HCl system by applying the interaction energy data, which are calculated at the theoretical level of the single and double excitation coupled-cluster method with noniteractive perturbation treatment of triple excitation CCSD. The new potential model is compared with other potential models. The differential scattering cross sections for collisions between He atoms and HCl molecules are calculated by using CC (Close-Coupling) method. Furthermore, the changing regularity of the inelastic differential scattering cross sections is summed up.

根据在CCSD/aug-cc-pVQZ理论水平下计算的He-HCl相互作用能数据，作者采用Murrell-Sorbie势函数形式拟合了He原子与HCl分子相互作用的各向异性势，并与其它势模型进行了比较；然后采用公认的精确度较高的CC近似方法计算了He-HCl碰撞体系的微分散射截面，总结了非弹性微分散射截面的变化规律。

Using the method we calculate the 〓 elasticdifferential scattering cross section, excitation differential scattering crosssection, and excitation cross section of electron collision with 〓 We transform the electron and molecule problem into electron problemby Born-Oppenheimer approximate. Mr Rossi, Dr. the Flinders University ofSouth Australia, calculated electron collision with molecule, but theexchange term he used become bigger and bigger as incident energyincreases, it is unreasonable, besides, the potential of electron and nucleus heused is somewhat rough. At present we correct these two terms. The potentialconsists of static potential, exchange potential, polarization potential.

电子与分子的碰撞过程的相互作用势主要是由静态势、交换势和极化势三部分决定的，这里对这三部分在动量空间中进行分波展开，推导出易于计算的表达形式，根据这些公式，并参考Rossi的弹性碰撞程序编写了计算电子与分子碰撞激发截面的程序，利用程序计算出势能矩阵元，通过求解Lippmann-Schwinger方程求得T矩阵元，便可求得散射截面。

Drift electron mobility, the Hall factor and Hall mobility in GaN are calculated according to Mattiessen's rule as a function of temperature for carrier concentrations with the compensation ration as a parameter on the basis of taking into account the individual average scattering momentum relaxation time of four scattering mechanisms, namely, ionized impurity scattering, polar mode optical scattering, acoustic piezoelectric scattering and acoustic phonon deformation potential scattering which have an effect on electron mobility of GaN.

考虑了对纤锌矿型氮化镓低场电子输运影响最为显著的4种散射机制－电离杂质散射，极化光学波散射，声学波压电散射和声学声子形变势散射的单个平均动量驰豫时间，采用Mattiessen's rule计算了不同补偿率以及不同载流子浓度条件下，氮化镓电子漂移迁移率，霍耳因子以及霍耳迁移率随温度的变化。

This has just reached ouraim of establishing a quantum theory of potential scattering inphase space in the sense of the pure quantum mechanics.

这恰好就达到了我们在纯量子力学意义上建立相空间势散射理论的目的。

Chapter 2: The chapter concentrates on the powerful instrument in studying the carrier transport properties—thermopower.. Starting with the base theory, the chapter discussed the thermoelectricity phenomenon in metal and semiconductor in detail, including the useful Mott formula, phonon drag effect (normal process and Umklapp process), abnormal thermopower in transition metal, two-band model, magneton scattering, and so on. To resolve the abnormal thermopower in low temperature, some theoretical models, such as the distortion of Fermi surface, resonant scattering, spin-bag model, were argued. Each of them has its limition.

第二章：对热电势这一研究物质载流子输运性质的手段进行了综述，从热电势的原理和基础理论研究开始，针对金属和半导体的热电势现象进行了详细讨论，包括研究工作中常用的Mott公式、声子曳引的正常过程和Umklapp过程、过渡金属异常的热电势现象、双带模型及磁子散射机制等等，对于低温下的异常散射机制讨论了声子曳引、费米面畸变、共振散射机制、自旋口袋模型等若干种理论模型及其局限性。

The calculations of nucleus-nucleus potential are carried out in the framework of double folding model with M3Y-Reid and M3Y-Paris effective nucleon-nucleon interactions. The exchange part of the interaction, which is taken to be of finite range and the density dependence of NN interaction, is accounted for in the folding procedure. The results are used as the real part of the optical potential for heavy ion scattering.

用双折叠模型计算了核核碰撞的相互作用势，其中核子-核子相互作用势采用M3Y-Reid和M3Y-Paris形式，交换部分考虑了有限力程的密度依赖的核子-核子相互作用，程序用于重离子散射光学势实部的计算。

In order to know irradiant dynamic process we must have excitation crosssection of electron collision with molecule. Incident electron energy is inintermediate range. At low energy, there are several good methods thatcalculate electron collision with molecule for example Variation, R-matrix.

此时入射电子的能量已经达到中能，在低能范围内的电子与分子散射有许多好的方法如变分法、R-矩阵方法，在高能范围内利用Born近似等方法也能得到满意的结果，在中等能量范围的电子与分子碰撞则没有相应的成熟的方法，使用比较多的是密耦(Closing-Couple)方法，这种方法将相互作用势分为静态势、交换势、极化势，在耦合态的选取上比较自由，可以根据实际的问题及分子的特性选取耦合作用比较强的通道，这样既能保证精度又能减少计算量。

Our model is obviously superior to Rinker'smodel. because Rinker's model potential is a combination of Thomas-Fermi-Dirac potential and Hartree-Fock-Slater potential for the isolated ion.

我们的模型明显优越于Rinker的模型在于： Rinker的模型采用的是Thomas-Fermi-Dirac势和自由原子的Hartree-Fock-Slater势的迭加形式，而我们的模型中除离子的结构因子外，电子散射势、化学势及电离度等量都是通过自洽迭代方法计算的。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。