The excitation energies and term energies of the excited states 1s2ns (n=3,4,5) and 1s2nf (n=4,5) of lithium-like systems of Z=11－20

In this paper, the full-core plus correlation (FCPC) and the Ritz method is extended to calculate the non-relativistic energies of 1s^2ns (n=3,4,5) and 1s^2nf (n=4,5) states and the wavefunctions of the lithium-like systems from Z=11－20. The mass-polarization and the relativistic correction including the kinetic-energy correction, the Darwin term, the electron－electron contact term, and the orbit－orbit interaction are evaluated perturbatively as the first-order correction. The contribution from quantum electrodynamic is also included by using the effective nuclear charge formula. The excited energies, the term-energy and fine structure, are given and compared with the other theoretical calculation and experimental results. It is shown that the correlative wave in the FCPC method embodies well the strong correlation between the 1s^2 core and the valence electron.     

非晶态Co-B的局域电子结构的Xα原子簇计算

In the research on metallic glass, there are arguments against the "rigid band charge transfer", model which assumes a charge transfer from metalloid atoms to transition metal atoms to explain the experimental evidence of linear reduction of average atomic magnetic moment with the increasing concentration of metalloid atoms, but they could not explain the experimental relation of the reduction. In the present work, spin-polarized SCC-DV-X_a calculation for atomic clusters for metallic glass Co-B has been empoloyed to investigate the local electronic structure and magnetic property of the metallic glass. As opposed to the "rigid band charge transfer" model, calculation in the present work indicates that charge transfers from Co4s to both B and Co3d. It is found that there is Co3d4s-B2p hybird bonding in Co-B, which leads to the linear reduction of average atomic magnetic moment. Thus the explanation removes the above controversy.     

非晶态Co-B的局域电子结构的X_α原子簇计算

金属玻璃TM-Met(TM为过渡金属原子,Met为类金属原子,如硼、磷等)由于其优异性能已成为非晶态研究的重要课题之一。实验研究表明,类金属原子与过渡金属原子构成非晶态合金(即金属玻璃)后,平均原子磁矩随Met的含量在一定范围内的变化呈线性下降关系.相当多的文献用“电荷转移刚性能带”模型来解释.认为金属玻璃的能带是     

Xα交换参数对钠原子激发态能级的影响

基于自由电子气近似,可得到很多种不同的交换参数的理论算法.本文利用这些交换参数模型,对Na原子的主线系4p～15p的激发态能级进行了计算.通过计算结果与实验值比较,认为基于维里定理的交换参数算法应更优于其它理论模型.     

电流密度算子、对应原理和Weyl规则

一、问题的提出: 人们熟知的量子力学中单体的电流密度为另外,人们又知道量子力学中的对应原理:如果经典力学中的力学量为F(x,p),则对应量子力学中的力学量可用下列算子表示(1.2)在经典电动力学中,电流为可测量的量,其密度表式为 j=pv(1.3)p为电荷密度,v为速度它对应的量子力学表式应为 式(1.1)来自电荷守恒与Schrodinger方程,式(1.4)来自经典表式与“对应原理”,仿佛都有道理,但结果不同.那么观念问题出在哪里呢? 鉴于电流密度是个常见的物理量,它在实际中很有用处,特别是在超导物理的London方程、Ginzburg-Landau方程、Josephson方程、…     

共面对称条件下Mg原子(e,2e)反应的三重微分截面的计算

采用修正的扭曲波玻恩近似(DWBA)方法,本文计算了共面对称几何条件下电子碰撞Mg(3s2) 原子(e,2e)反应的三重微分截面.理论方法通过引入Gamow因子来表示(e,2e)反应的后碰撞相互作用(PCI).将计算结果与实验结果及标准DWBA计算结果进行了比较,发现PCI效应起着重要的作用.     

Density-functional investigation of 3d,4d,5d impurity doped Au6 clusters

The general features of the geometries and electronic properties for 3d,4d,and 5d transition-metal atom doped Au 6 clusters are systematically investigated by using relativistic all-electron density functional theory in the generalized gradient approximation(GGA).A number of structural isomers are considered to search the lowest-energy structures of M@Au 6 clusters(M=3d,4d and 5d transition-metal atoms),and the transition metal atom locating in the centre of an Au 6 ring is found to be in the ground state for all the M@Au 6 clusters.All doped clusters,expect for Pd@Au 6,show large relative binding energies compared with a pure Au 7 cluster,indicating that doping by 3d,4d,5d transition-metal atoms could stabilize the Au 6 ring and promote the formation of a new binary alloy cluster.     

钠原子主线系精细结构的多体微扰计算

在相对论的框架下采用多体微扰理论(MBPT)方法计算了纳原子 np(n=3—9)态的能级精细结构分裂值. 为避免多体微扰计算中需要计算大量连续态的困扰, 通过引入外势的方法可以构建离散、有限和近似完备的数值基函数. 经求解相对论Hartree-Fock (RHF)方程及外势作用下的RHF方程可获得零级近似波函数和能级值. 为了使微扰展开能够收敛, 计算中用到了轨道角量子数l≤ 6的在一定能量分布范围内的中间态, 其中以在外势作用下的收缩态为主. 依此方法计算了纳原子主线系系列能级二阶微扰修正值, 同时还考虑了Breit效应的一级微扰修正对精细结构的影响. 通过与其他理论计算结果比较可看出, 本文计算结果在较大程度上更接近于实验值.     

氦原子1snd(n=4—11)组态下1D—3D谱项分裂值的计算

利用多体微扰理论(MBPT)计算了氦原子1snd(n=4—11)组态的１Ｄ—^３Ｄ谱项分裂值.基于两种不同的模型分别计算Rayleigh-Shrdinger微扰展开式中仅含束缚态的部分和包含连续态的部分.对于束缚态，较严格地通过自洽迭代求解Hartree方程构造零级近似波函数，并利用积分处理方法对无穷项求和中的余项给出了近似算法.而对于连续态波函数，则采用简化的氢原子势模型.按照Rayleigh-Shrdinger微扰展开方法，将Rydberg态的微扰论修正计算至三级.计算表明，二级和三级微扰对谱项分裂的贡献主要来自于束缚态求和部分.单态-三重态精细结构分裂的计算结果与两组实验结果基本符合. 关键词： 氦原子 Rydberg态 多体微扰 组态波函数 能级分裂     

连续态波函数归一化问题及其完备性检验

本文探讨了连续态波函数归一化问题,给出了正确、有效的归一化算法.采用改进的Numerov格式计算氢原子的连续态波函数,并利用基矢完备性条件对此进行了检验.利用最小二乘法,分别得出了束缚态部分和及连续态部分积分的渐近函数形式.并由此采用积分处理方法得到了余项的近似计算结果.