三体库仑系统共振的Faddeev-Merkuriev方程

Faddeev-Merkuriev积分方程方法研究电子-氢散射

Electron-hydrogen scattering in Faddeev-Merkuriev integral equation approach

用Faddeev-Merkuriev积分方程方法研究了电子与氢原子的散射。用库仑-斯特米安可分离展开法求解方程组。我们提出$S$ -和$P$ -波散射和反应截面的$H(n=4)$阈值。

库仑势三体系统Faddeev-Merkuriev积分方程的共振态解

Resonant-state solution of the Faddeev-Merkuriev integral equations for three-body systems with Coulomb potentials

提出了一种计算三体库仑系统共振态的新方法。Faddeev-Merkuriev积分方程的求解采用库仑-Sturmian可分离展开法。计算了$e^- e^+ e^-$的S态共振态，并计算了达到$n=5$阈值的S态共振态。

原子三体共振的Faddeev-Merkuriev积分方程

Faddeev-Merkuriev integral equations for atomic three-body resonances

原子系统中的三体共振被计算为Faddeev型积分方程的复能量解。齐次Faddeev-Merkuriev积分方程通过在Coulomb-Sturmian基中逼近势项来求解。三体库仑格林算符的库仑-斯特矩阵元被计算为两体库仑格林矩阵的围道积分。这种近似将积分方程转换为矩阵方程，复能量被定位为Fredholm行列式的复零点。我们计算了e-Ps系统在较高能量和总角动量为L=1时的共振态，其中包含自然宇称和非自然宇称

$J$矩阵方法在Faddeev-Merkuriev方程中的应用：超越赝态

Application of the $J$-matrix Method to Faddeev-Merkuriev equation: beyond pseudostates

提出了一种数值求解三体Faddeev-Merkuriev微分方程的$J$ -矩阵方法。该版本允许考虑两体库仑子系统的全谱。由此得到了一个离散的Lippmann-Schwinger方程，它能正确地解释二体域中的三体波函数。应用该方案计算了He $(e,2e)$ He $^+$和He $(e,3e)$ He $^{++}$反应在小能量和动量转移下的全分辨绝对微分截面。计算结果与实验结果在形状和绝对值上都符合得很好。

High resolution calculation of low energy scattering in $e^-e^+\bar{p}$ and $e^+e^-\mbox{He}^{++}$ systems via Faddeev-Merkuriev equations

The potential splitting approach incorporated into the framework of Faddeev-Merkuriev equations in the differential form is used for calculations of multichannel scattering in $e^-e^+\bar{p}$ and $e^+e^-\mbox{He}^{++}$ systems. Detailed calculations of all possible S-wave cross-sections are performed %in systems $e^+e^-\bar{p}$ and $e^+e^-\mbox{He}^{++}$ in the low-energy region which supports up to seven open channels including the rearrangement channels of ground and excited states of antihydrogen, positronium and helium ion formations. All known sharp resonances of the systems obtained and …

Solving the Faddeev-Merkuriev equations in total orbital momentum representation via spline collocation and tensor product preconditioning

The computational approach for solving the Faddeev-Merkuriev equations in total orbital momentum representation is presented. These equations describe a system of three quantum charged particles and are widely used in bound state and scattering calculations. The approach is based on the spline collocation method and exploits intensively the tensor product form of discretized operators and preconditioner, which leads to a drastic economy in both computer resources and time.