查询词典 hyperspherical

The differential and integral reactive scattering cross sections for the H(superscript +)+D2(v=0, j=0) reaction have been studied by a coupled-channel hyperspherical coordinate method in an ab initio potential energy surface.

基于ab initio势能面，用耦合通道超球坐标理论研究了碰撞能等于0.5eV时H+D2(v=0， j=0)的积分，微分截面。

There is a sort of new lens effect in hyperspherical universe, and it should result in some periodicity in observation.

在超球面宇宙中存在一种新的透镜效应，其结果导致观测上的某种周期性。

By using predictive modeling approach of compositional data through hyperspherical transformation, the developing trend of the composition of export commodity in China is forecasted.

运用球坐标变换的成分数据预测方法，研究我国出口商品结构的动态变化规律，对中国出口商品结构的发展趋势进行分析与预测。

The commonly used cluster based segmentation method assumes that the sample distribution is hyperspherical, but this kind of assumption is not consistent with the real characteristic of the human brain MR image.

通常使用的聚类分割方法认为样本的分布是超球形的，然而，这并不符合人脑磁共振MR（magnet－icresonance）图象的真正特点。

From Karlsson's formula and the polar effect, we realize that the half periodic parameter of redshift is 0.206, in theory, we finally explain why the great wall is at redshift Z=0.079 in redshift space; We have defined quasar as the early star nearby the position poles and opposite poles, and given the answer for two difficult problems of theirs; Based on the course of explanation for redshift space, we have reason to think that our universe might be the linear expansion hyperspherical universe.

从Karlsson公式及极点效应，我们认识到红移的半周期参数为0.206，最终从理论上解释了为什么红移长城在红移空间的位置为 Z=0.079；我们定义类星体为在位置极点和异极点附近的早期恒星，进而给出与其相关的两个难题的答案；基于对红移空间的解释过程，我们有理由认为我们的宇宙是线性膨胀超球面宇宙。

In thecase of hyperspherical coordinates,the Schrodingerequation for many-electron atom can be changed into asimple second-order coupled hyperradial differentialequation,which indicates that it may be exactly solved.

超球坐标下，多电子原子的〓方程，可化为形式上非常简单的二阶超球径耦合常微分方程，这就预示了严格求解的可能性。

Direct solution to the Schrodinger equation forlithium atom using hyperspherical coordinates The main purpose of this thesis is to explore anefficient method of direct solution of Schrodingerequation for lithium atom using hyperspherical coordinates,and calculate it's eigenenergy and wavefunction in ground-state so that electron correlation is discussed.

本论文的主要任务是在超球坐标下讨论N（N≥3）电子原子〓方程的严格求解，并具体计算锂原子的能量本征值和波函数，从而分析和讨论电子间的相关。

We present a caculation of ground state properties of van der Waals trimer Ar2Kr and Ar3 with our newly-developed Hyperspherical approach. The latest proposed accurate Tang-Toennies pair-like potantials are used in the calculations.

利用我们新近发展的耦合道超球方法结合最新的Tang-Toennies模型势计算了由重惰性原子Ar和Kr构成的范德瓦尔斯三聚体Ar2Kr和Ar3的基态性质。

A systematic convergence tests for hyperspherical potential curves, channel functions, are performed to assess the validity and efficiency. The challenging three-body problem with complex channel-coupling is solved efficiently and accurately. Accurate ground-state energy, structure parameters, and rotantion constants for Ar2Kr and Ar3 are obtained and compared to other theoretical values in the literatures.

系统研究了超球势曲线、道函数的特征与收敛性；实现了有复杂多通道耦合时重惰性原子三聚体的精确求解，得到了Ar2Kr和Ar3惰性原子三聚体精确的基态能量、结构参数及转动常数，并与文献结果进行了比较。

In chapter 4, by AREELS, the Generalized Oscillator Strength Density Spectra were measured in the energy region from 56 to 66eV, with the incident energy 2. 5 keV and energy resolution 80 meV, at scattering angles from 0°to 6°, corresponding to the momentum transfer K〓=0.03~2. 01 a. u. The Fano profile parameters f〓 and q for the optically allowed transition 〓(0, 1)〓P°and the optically forbidden transitions 〓(1, 0)〓S〓and 〓(1, 0)〓D〓 were obtained as a function of K〓. With the hyperspherical coordinate wavefunctions, the dynamical correlation are discussed qualitatively. So, a new experimental way to study dynamical electron correlation effect is opened.In chapter 5, the widely used R-matrix theory was introduced. Then, the GOSDS for the optically allowed excitation series (1s〓)〓S〓→〓(0, 1)〓P°(n=2-4) were calculated by this method, and the Fano profile parameters f〓 and q were obtained sequently. So the electron correlation effect can be described by these parameters quantitatively, and the theoretical results were compared with our AREELS experimental results.

在第四章中，实验上，同样使用角分辨的高能量分辨快电子能量损失谱仪，在2.5keV电子入射能量和80meV的能量分辨下，测量了0°到6°散射角下的He原子双电子激发态在56~66eV的广义振子强度密度谱，这种情况，0°~6°对应的动量转移范围K〓=0.03~2.01a.u。，得到了光学允许跃迁的双电子激发态〓（0，1）〓P〓和光学禁戒跃迁的双电子激发态〓（1，0）〓S〓、〓（1，0）〓D〓的Fano线形参数f〓，q等随动量转移变化的曲线；观测到了几个强度很弱、能级很窄的光学允许和禁戒跃迁双电子激发态，用前人准确的理论结果进行了标识；通过比较弱共振〓（1，0）〓S〓和〓（-1，0）〓S〓的强度随动量转移K〓的变化规律，结合超球坐标理论计算的波函数，定性地阐述了在电子碰撞散射过程中它们各自不同的动力学电子关联效应，发展了一套在实验上研究电子关联效应的新方法。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。