A New Model Potential Acting on the Excited Electron Within Molecules： Application to Calculate the Recurrence Spectra of Excited H2 Molecules in Strong External Fields

By using the molecular orbit theory, we give a new model potential acting on the excited electron within a molecule. The potential is the total interaction energy of this electron with all the nuclei and other electrons.We find that the introduction of a new model potential results in an extreme increase of the number of closed orbits as compared to the hydrogen atom. Making use of the molecular closed-orbit theory (MCOT) and the new model potential, we calculate the recurrence spectra of H2 molecules in parallel electric and magnetic fields for different quantum defects. The modulations in the spectra can be analysed in terms of the scattering of the excited electron on the molecular core. Our results are in good agreement with the quantum results.     

Analysis of Charge State Distribution by Non-Local Thermodynamic-Equilibrium Spin-Orbit-Split-Array Collisional Radiative Model

A collisional radiative model based on the spin-orbit-split-arrays is used to determine the charge state distribution of gold plasmas. The ab initio atomic structure code of Cowan and the spin-orbit-split-array model were used to calculate all the emission spectra of the different gold species, and a non-local thermodynamic-equilibrium model was coupled to calculate the ion populations at a given plasma density and electron temperature. The charge state distribution and other plasma parameters were determined by comparing the experimental spectra with the theoretical simulated soectra of gold plasmas.     

经典粒子和量子微观粒子的运动轨道

用量子力学传播子讨论了经典粒子和量子微观粒子沿着不同轨道对传播子的贡献．通过这样的计算可以清楚地看到为什么经典粒子只是沿着满足最小作用原理的轨道，即经典轨道运动，而对于量子微观粒子沿着许多条路径都有可能．这篇短文将一些教科书中的讨论用具体的数学表达出来，使得读者更容易理解．计算表明，对于质量较大的经典粒子，沿着非经典轨道对传播子的贡献和它周围的临近轨道有强烈的抵消．只有在经典轨道附近对传播子的贡献才不为零．对于量子微观粒子没有这种差别，它可以沿着多种可能的轨道运动．     

先天学关于太阳系定位原理

天上星星，繁而不乱。根据《易》“太极”2^k序列编出一个三角数表，可描测太阳系已知与未知行星的轨道参数。其中排行第七的一颗“女帛星”(合理存在)，按开普勒第三定律计算出公转速度与周期后，发现太阳系十大行星的动态组合就是一个“先天八卦模型”，进而可以解读太阳系平衡态运动的数学机理及其结构特征。     

Minimal Braid in Applied Symbolic Dynamics

Based on the minimal braid assumption, three-dimensionai periodic flows of a dynamical system are reconstructed in the case of unimodai map, and their topologicai structures are compared with those of the periodic orbits of the R6ssler system in phase space through the numerical experiment. The numerical results justify the validity of the minimai braid assumption which provides a suspension from one-dimensional symbolic dynamics in the Poincare section to the knots of three-dimensionai periodic flows.     

戈德菲尔德匡特检验的推广

在大多数经济现象中,回归模型的随机扰动项并不具有同方差性,它可能随观察值的不同而变化。对这种异方差模型进行最小二乘估计,会产生严重的后果,因此研究异方差的检验方法具有重要意义。由于戈德菲尔德 匡特检验方法只适用于一个自变量,因此,本文对G Q检验进行了推广,说明在多变量的情况下,可以利用主成分对样本数据进行排序,从而解决了对多变量数据的排序问题,使戈德菲尔德 匡特异方差检验得到了推广,并举实例说明。     

用“楔块梁”计算方法校核吊车轨道梁强度

本文推广了文［１］中“楔块梁”的计算方法，讨论了当上、下梁截面尺寸、形状、材料都不一样时的计算方法，以某厂一吊车轨道梁为例做了计算分析，并与实测结果作了比较。