Momentum conservation leading to the generalized vectorial laws of reflection and refraction

This paper considers the newly discovered laws on reflection and refraction reported in 2005 by the author. A brief review of the said discovery has been made. To give the discovery a concrete foundation and to show the efficiency of the photon theory, theoretical proof of each of those discovered laws on reflection and refraction has been offered making use of the photon theory and on further application of the principle of conservation of momentum.     

悬摆法测量气体推进剂激光推进冲量耦合系数

 给出了悬摆法测量激光推进冲量耦合系数的原理,分别以空气、氩气、氮气和氦气为推进剂,用悬摆法测量了抛物形推力器在能量不同的单脉冲TEA CO₂激光辐照下的冲量耦合系数。实验结果表明：氩气的冲量耦合系数最高,氦气的冲量耦合系数最低;在实验测试的激光能量范围内,4种推进剂气体的激光推进冲量耦合系数基本上都随着激光能量的增加而线性增大,冲量耦合系数的相对误差为5.4%~6.4%。实验结果与国外相关实验结论一致。     

电子碰撞离化H（1s）末态波函数动量相关效应

考虑电子碰撞离化Ｈ（１ｓ）末态波函数中电子动量相关效应对三重微分散射截面（ＴＤＣＳ）的影响，结果发现在中，高入射能情况下，采用本文提出的电子有效核电荷表达式，ＴＤＣＳ计算结果与实验值符合得非常好。     

计算电子与原子Mg碰撞3^1S→3^1P跃迁散射截面

应用动量空间的耦合通道光学势方法计算了中等入射能量范围的电子与原子Ｍｇ的非弹性散射３１Ｐ的微分散射截面，１０个分立的通道和描述连续态激发的光学势被包括在这个计算中。在１０ｅＶ、２０ｅＶ和４０ｅＶ的计算结果与实验测量符合的非常好并表明包括连续态改进了大角度的微分散射截面。     

H（1s）原子（e,2e）三重微分散射截面

考虑（ｅ，２ｅ）出射电子动量相关效应及交换影响，对Ｈ（１ｓ）原子靶推出了三重微分散射截面明晰表达式，计算了入射电子能量为１５０ｅＶ，电离电子能量分别为３ｅＶ，５ｅＶ，１０ｅＶ情况下共面及非共面ＴＤＣＳ，结果与实验值符合较好。     

Momentum transport in a turbulent mixing layer

The turbulent momentum transport phenomena in a two-dimensional mixing layer are investigated numerically by a discrete vortex method. The numerical model and calculations are verified through a comparison with existing numerical simulations and experimental measurements. The main emphasis is placed on the exploration of the detailed time-dependent instantaneous local momentum fluctuations and on the comparison of numerical results with available experimental measurements. The current simulations confirm qualitatively the various trends in the turbulent momentum flux and fluctuating components of the velocity in the mixing layer found with several experimental results. The study shows that similarity exists in turbulent momentum quantities along the axial direction of the mixing layer. The calculations also show a definite correlation between the passage of a large-scale structure and a burst in the turbulent momentum flux. The probability density functions of the fluctuating quantities are shown to be mostly Gaussian-like, with only a few exceptions.     

A novel approach to molecular similarity

Summary We review briefly the general problem of assessing the similarity between one molecule and another. We propose a novel approach to the quantitative estimation of the similarity of two electron distributions. The procedure is based on momentum space concepts, and avoids many of the difficulties associated with the usual position space definitions. Results are presented for the model systems CH₃CH₂CH₃, CH₃OCH₃, CH₃SCH₃, H₂O and H₂S.     

Symmetric orthogonalisation in momentum space: A numerical study

Summary Symmetric orthogonalisation is favourable to perform in momentum space, as this article will show. We have used a model of a body centered cubic lattice with 1s- and 2s-Slater orbitals centered at each atom site. Computer programs have been written to calculate the eigenvalues of the overlap matrix which play an important role in constructing symmetrically orthogonalised wavefunctions.     

Fukutome classes in momentum space

Summary Fukutome's group theoretical classification scheme for determinants, based on the transformation properties of the Fock-Dirac density matrix under spin rotations and time reversal, has been extended to momentum space. Particular attention is paid to the transformation properties of orbitals and density matrices under inversion in momentum space.     

Interelectronic angle densities of atoms in momentum space

For the 102 atoms from He to Lr in their ground states, the Hartree–Fock interelectronic angle densities,¯A(¯₁₂), in momentum space are reported, where ¯₁₂ is the angle between the momentum vectorsp₁ and p₂ of two electrons. In the first three atoms, He–Be, ¯A(¯₁₂) is found to be uniform independent of ¯₁₂, while in the remaining 99 atoms,¯A(¯₁₂) is larger for a large ¯₁₂ than for a small ¯₁₂. Accordingly, the average interelectronic angles in momentum space are 90° precisely for the three atoms and greater than 90° for the 99 atoms.