有缺陷铁磁体的中子非弹性散射

本文对有缺陷铁磁体的中子-自旋波散射作了理论研究。计算了在简单情况下的非弹性散射的微分截面。通过慢中子的散射实验可能证实自旋波局域模的存在。我们在文中得出了散射态波函数,并证明了它们与局域模波函数一起在自旋偏离为一的子空间中组成了正交归一完整的波函数系。 关键词：     

厄米-高斯光束对手征介质球的远场散射

利用复源点方法将厄米-高斯光束展开为球矢量波函数的形式。基于广义洛伦兹米氏理论,应用手征介质球与自由空间分界面处电磁场切向连续的边界条件以及球矢量波函数的正交性,得到手征介质球远区散射场展开系数。研究了厄米-高斯光束对手征介质球的散射特性。数值计算了厄米-高斯光束对手征介质球的远区散射场分布,分析了波束模式、手征参数和手征球尺寸等对散射特性的影响。     

相对论性无自旋粒子在Hartmann势场中运动的精确解

在标量势等于矢量势的条件下,本文获得了具有Hartmann型势的Klein-Gordon方程的精确解.给出了束缚态的精确的能谱方程和归一化的径向波函数,对于散射态,获得了按“k/2π标度”归一化的径向波函数和相移的解析计算公式.讨论了散射振幅的解析性质和波函数、能谱方程以及相移的非相对论近似.     

二维高斯波束对多层球粒子电磁散射的解析解

基于矢量波函数在球和柱坐标系中表达式之间的转换关系,提出了一种求解球坐标系中二维高斯波束波形因子的方法,得到了二维高斯波束波形因子在球坐标系中的解析公式.结合广义米理论推导了在轴二维高斯波束入射多层球粒子的电磁散射的解析解,并对散射强度随散射角的分布进行了数值模拟,结果与平面波入射情况进行了比较. 关键词： 矢量波函数 波形因子 电磁散射 广义米理论     

两种核α粒子模型波函数的一个对比

对于两种不同的核内α粒子波函数——独立α粒子模型波函数和简单高斯型波函数,通过重离子散射进行检验.实验明显支持前者而不利于后者.     

平面上方分层小球的光散射计算

本文基于扩展的Mie理论方法求解平面上方分层小球的散射问题。通过建立小球和平面的模型,解决小球和平面的边界条件问题,并利用矢量波函数展开的方法求得了散射场。强调了小球与表面的相互作用。利用Mie理论方法得到了分层小球的散射场系数,通过计算平面上小球的散射模型,得到了平面上分层小球的散射场分布。结论给出了分层介质小球的微分散射截面图。     

相对论类空方程

根据Dirac类空自洽性条件的思想,通过引入类空因子定义了类空波函数.它的物理部分与Bethe-Salpeter波函数相一致.利用普适的相互作用核的重排技术,导出了对于束缚态和散射态的相对论类空方程,并且将它们推广到多粒子的情形.也得到了束缚态类空波函数的归一化条件和散射态类空方程的非齐次项的解.因此,建立起了相对论类空方程体系.     

新环形库仑势的束缚连续跃迁矩阵元

利用新环形库仑势的归一化的束缚态径向波函数和按“k/2π标度”归一化的散射态径向波函数,本文给出了新环形库仑势的任意幂次的束缚连续跃迁矩阵元的通项表达式.为了简化高幂次的束缚连续跃迁矩阵元的计算,我们还推导出了不同幂次的束缚连续跃迁矩阵元之间所满足的递推关系,并提出了计算径向波函数微商的矩阵元的计算办法.本文结果可广泛的用于原子与分子的散射问题特别是环形分子的散射问题之中.     

基于实稳定方法求解单粒子共振态的Wigner函数

利用坐标空间的实稳定方法,求解了一维势场中单粒子散射态与其中共振态的本征值问题,由得到的单粒子本征波函数进一步给出相应的Wigner函数,分析了单粒子散射态与其中共振态的相空间分布特征.发现除了本征能量与本征波函数存在差异,Wigner函数在相空间的具体分布行为也可用于区分单粒子共振态与一般的散射态,在相关的量子测量实验中可能用作确定量子态的特征判据.     

独立α粒子模型下的电子散射

本文提出了一个轻原子核的α结构模型。其物理图象清楚,波函数简单,便于使用。特别是应用到多次散射问题,各次散射项均可积分。应用得到的波函数,可以很好地符合电子散射实验。结果表明,目前人们常用的刚体α粒子模型,其图象相当于本文模型的经典对应。     

Uniform asymptotic formulae for the spheroidal angular function

The problem of wave scattering by a spheroid is treated. Special interest is paid to the solution of the differential wave equation related to the angular spheroidal functions. A solution is obtained using uniform asymptotic formulae along with semiclassical methods. The developed method shows that it is possible to interpolate uniformly the spheroidal angular function with Weber's parabolic cylindric functions and Legendre's functions.     

Weighted-Residual Methods for the Solution of Two-Particle Lippmann–Schwinger Equation Without Partial-Wave Decomposition

Recently there has been a growing interest in computational methods for quantum scattering equations that avoid the traditional decomposition of wave functions and scattering amplitudes into partial waves. The aim of the present work is to show that the weighted-residual approach in combination with local basis functions give rise to convenient computational schemes for the solution of the multi-variable integral equations without the partial wave expansion. The weighted-residual approach provides a unifying framework for various variational and degenerate-kernel methods for integral equations of scattering theory. Using a direct-product basis of localized quadratic interpolation polynomials, Galerkin, collocation and Schwinger variational realizations of the weighted-residual approach have been implemented for a model potential. It is demonstrated that, for a given expansion basis, Schwinger variational method exhibits better convergence with basis size than Galerkin and collocation methods. A novel hybrid-collocation method is implemented with promising results as well.     

Gluon cascades and amplitudes in light-front perturbation theory

We construct the gluon wave functions, fragmentation functions and scattering amplitudes within the light-front perturbation theory. Recursion relations on the light-front are constructed for the wave functions and fragmentation functions, which in the latter case are the light-front analogs of the Berends–Giele recursion relations. Using general relations between wave functions and scattering amplitudes it is demonstrated how to obtain the maximally-helicity violating amplitudes, and explicit verification of the results is based on simple examples.     

Scattered wave packet formalism with markovian outgoing wave boundary conditions for open quantum systems

The scattered wave formalism is developed for a quantum subsystem interacting with the external environment through open boundaries. The total wave function is divided into incident and scattered components and Markovian outgoing wave boundary conditions are applied to the scattered wave function. This formalism significantly reduces the computational effort relative to other methods which rely on Green functions and memory kernels. The method is applied to one-dimensional barrier scattering and to a three-dimensional model for the field effect transistor.     

Correction for radiation in the scattering of dirac particles in an external central field

This scattering is considered for the relativistic case with allowance for radiation corrections by a method previously described [1–3] for solving radial equations for the nonrelativistic case, the basis being an approximate method [4] employing trial wave functions whose parameters are found without resort to variational methods. Detailed formulas are deduced. The scattering of Klein-Gordon particles is also considered.     

EIKONAL-BORN EXPANSION AND ITS APPLICATION IN LARGE-ANGLE SCATTERING

In this paper, the scattering amplitude is expanded by two eikonal wave functions which propagate along the incoming and outgoing directions respectively to replace the distorted wave functions in DWBA. Then, we obtain a method to calculate the non-relativistic large angle scattering. This method can be easily generalized to relativistically phenomenological dynamical equation.     

Scattering of ice coupled waves by a sea-ice sheet with random thickness

Arctic sea-ice contains imperfections such as cracks, leads and pressure ridges that scatter flexural-gravity waves. Models for predicting scattering have been described in the literature, concentrating mainly on singular isolated features with simplified shapes or on arrays of such features. In reality ridges are seldom simple and leads are rarely entirely free of ice. Here we describe a model in which the scattering by a sheet of arbitrary thickness can be simulated. Linear wave theory and Green's functions are used to derive the governing equations for a numerical model of a two-dimensional (in the vertical) system. We examine wave scattering by random ice sheets, identifying trends in behavior as the wave period and the length, median thickness and variance of the sheet are changed. It has been suggested that wave scattering could be used to identify sea-ice thickness, a task which is difficult or expensive by other methods, and here we examine a technique by which this could potentially be achieved. However, a large data base is necessary for this to work and this may limit the practicality of the approach.     

Relativistic effects in nuclear motions

Using the wave functions of the relativistic equivalent harmonic oscillator recently proposed, elastic electron scattering cross sections have been calculated in the Born approximation for helium and lead. Calculations have also been made with the non-relativistic isotropie oscillator wave functions. Comparison with high-energy electron scattering experiments shows that relativistic effects may be significant in a heavy nucleus like lead.     

The impact of vibrational wave function on low energy electron vibrational scattering from nitrogen molecule

The vibrational wave function of the target theoretically plays an important role in the calculation of vibrational excitation cross sections. By a careful study of the differential cross sections resulting from different vibrational wave functions we find that cross sections are susceptible to vibrational wave functions. Minor changes in the vibration wave function may cause a significant change in the cross section. Even more surprising is that by selecting a few numbers of potential models(which determine the vibrational wave functions) we can often calculate the differential scattering cross section in much closer agreement with experiment in the framework of body-frame vibrational close-coupling theory, which suggest that an accurate potential energy may play a more important role in scattering than we thought before.