研究类氦原子基态能量的参数微扰法

考虑了类氦原子中电子对核的屏蔽效应,建立了含有屏蔽效应参数的哈密顿算符,并应用微扰理论研究了类氦原子基态能量.通过参数微扰法计算的类氦原子一级近似基态能量与变分法得到的能量完全相同,比无参数微扰法计算的能量更加接近实验值.参数微扰法为研究多电子原子能级和原子能级精细结构提供了一种新的方法.     

参数微扰法计算氦原子基态能量

根据参数微扰法理论,选择有效核电荷数为z*=2-σ的两个类氢原子的ns态的波函数的组合,作为氦原子基态的1级至4级近似波函数.应用参数微扰法计算了氦原子基态4级近似能量.计算结果表明参数微扰法得到的氦原子基态4级近似能量与实验值的误差为ΔE=0.004922028e_s~2/a_0.     

类氦原子基态能量的哈密顿替代法研究

首次将哈密顿替代法用于计算类氦原子基态能量.计算结果与单参数变分法给出的数值相同,比一阶微扰法计算的能量更接近实验值.由于计算过程简单直观,不需选取试探波函数,不受微扰项大小限制,而且近似度高,该方法可在教学中采用.     

重夸克偶素的高阶变分-积分微扰修正

利用基于积分方程的改进的变分微扰方法(变分-积分微扰法)求解重夸克偶素激发态.设置含有变分参数的母哈密顿量作为零级哈密顿量,选择该母哈密顿系统的精确解作为试探波函数,得到了只有几项的高阶修正波函数和高阶能量修正.该计算结果更接近精确能量值,修正波函数的有界性和收敛性也得到了证明.结果表明,这种方法不仅可提高计算结果的精度,而且可确保微扰级数解的收敛性. 关键词： 重夸克偶素 变分-积分微扰法 高阶能量修正     

参数微扰法中基态能量与近似级数的关系

基于参数微扰法并使用满足空间交换对称性的波函数计算了氦原子的2到12级近似基态能量.计算表明,随着近似级数的增加,氦原子基态能量逐渐降低,改变量越来越小,基态能量与实验值的绝对误差存在一定起落.因此,选择合适的近似级数对氦原子基态能量的精确计算具有重要作用.     

氦原子能级的变分微扰计算

用变分微扰论计算了氦原子1S2S态两个能级的能量.先用单参数变分法计算,再进行二级微扰计算,改进了纯微扰论的结果,得到的能量值与实验数据较好相符.     

晶体场理论引论(四)

晶体场中能级分裂的计算--行列式波函数方法(4-1)用微扰法计算晶体场中能级分裂的示例 用简并微扰法计算晶体场中自由离子能级的分裂时,晶体场哈密顿量作为微扰,自由离子波函数为基,求出矩阵元,解久期方程,求出一级能量修正值即晶体场中能级的分裂,同时可求出自由离子基函数的线性组合作为零级近似波函数.下面以3d1组态的能级为例.     

氦原子和类氦离子基态能量的变分计算及相对论修正

采用一个包含坐标伸缩系数的简单有效的变分波函数,同时考虑到核的运动,利用Mathematic a语言开发了一个用变分法计算三体问题的程序,对氦原子和类氦离子(H^-,He,Li ⁺,Be⁺⁺,B³⁺,C⁴⁺,N⁵⁺,O ⁶⁺)的非相对论基态能量和解析波 函数进行了变分计算.在此基础上,对非相对论哈密顿量进行相对论和辐射修正,并考虑到有 限核电荷半径的影响,得到了氦原子和类氦离子高精度的基态能量值. 关键词： 氦原子 类氦离子 变分法 基态能量 相对论修正     

氦原子及类氦离子基态能量的经验公式

通过对氦原子和类氦离子电离能数据的分析 ,找到了一个能够快速计算类氦体系基态能量的经验公式 ,验算了一些类氦离子 (Z=2— 1 5 )的基态能量 ,与实验测量值符合得很好。除了 Li 和 Be 的基态能量的相对偏差为 0 .4 46 %外 ,其他的都低于 0 .4 %。     

类锂“洞原子”2s2s2p2P0和2s2p2p2D三激发共振系列的能量、精细结构和寿命

采用多通道鞍点和鞍点复数转动方法，计算了类锂离子(Z=3—10)2s2s2p²P⁰和2s2p2p²D三激发共振态系列的能量、精细结构和寿命.Auger宽度由耦合主要的通道得到，相对论效应计算到一级微扰，质量极化效应计算到无穷级. 关键词：     

低能入射电子与中性锂原子的碰撞激发截面

近耦合近似下，采用Ｒ－矩阵方法求解耦合的积分微分方程，给出低能电子与中性锂原子的碰撞激发截面，并与实验数据和其它理论计算数据进行了比较。     

Electronic structure tuning and band gap opening of graphene by hole/electron codoping

A pathway to open the band gap of graphene by p-n codoping is presented according to the first principles study. Two models are used: Lithium adsorbed on Boron-doped graphene (BG) and Boron-Nitrogen (B/N) codoping into graphene. The stability of Lithium adsorbed on BG is firstly analyzed, showing that the hollow site is the most stable configuration, and there is no energy barrier from some metastable configurations to a stable one. After the p-n codoping, the electronic structures of graphene are modulated to open a band gap with width from 0.0 eV to 0.49 eV, depending on the codoping configurations. The intrinsic physical mechanism responsible for the gap opening is the combination of the Boron atom acting as hole doping and Nitrogen (Lithium) as electron doping.     

Electronic properties of Li-doped zigzag graphene nanoribbons

Zigzag graphene nanoribbons (ZGNRs) are known to exhibit metallic behavior. Depending on structural properties such as edge status, doping and width of nanoribbons, the electronic properties of these structures may vary. In this study, changes in electronic properties of crystal by doping Lithium (Li) atom to ZGNR structure are analyzed. In spin polarized calculations are made using Density Functional Theory (DFT) with generalized gradient approximation (GGA) as exchange correlation. As a result of calculations, it has been determined that Li atom affects electronic properties of ZGNR structure significantly. It is observed that ZGNR structure exhibiting metallic behavior in pure state shows half-metal and semiconductor behavior with Li atom.     

锂洞原子双激发态的鞍点能量计算

采用鞍点截断变分方法和鞍点复数转动技术,计算和分析了锂洞原子双激发共振态[1s(2s2p)3P]2P0的鞍点能量和波函数.计算结果表明这种理论计算方法是获得高精度的能量值的重要保证.     

First-principles study of lithium intercalated bilayer graphene

Lithium intercalated bilayer graphene has been investigated using first-principles density functional theory calculations. Results show that there exist AB and AA stacking sequences for bilayer graphene in which the latter is more favorable for the Li storage and the former will evolve into the latter with the intercalation of Li ions. The relationship between the interlayer distance of two graphene sheets and the intercalated capacity of Li ions is discussed. It is found that structural defect is identified to store Li ions more favorably than pristine bilayer graphene and an isolated C atom vacancy in bilayer graphene can capture three Li ions between two graphene sheets.     

Semiclassical Calculation of Recurrence Spectra of Li Rydberg Atom in Crossed Electric and Magnetic Field

Closed-orbit theory is a semiclassical technique for explaining the spectra of Rydberg atoms in external fields. Using the dosed-orblt theory and classical perturbation theory, we calculate the scaled recurrence spectra of Lithium atom in magnetic field plus a weak perpendicular electric field. The results show when the crossed electric field is added, the recurrence spectra are weakened greatly. As the scaled electric field f increases, the peaks of the recurrence spectra lose strength. Some recurrences are very sensitive and fall off rapidly as f increases, others persist till much higher f. As the electric field is stronger, some of the peaks revive. This phenomenon, caused by the interference among the electron waves that return to the nucleus, can be computed from the azimuthal dependence of the classical closed orbits.     

Semiclassical Calculation of Recurrence Spectra of Li Rydberg Atom in Crossed Electric and Magnetic Field

Closed-orbit theory is a semiclassical technique for explaining the spectra of Rydberg atoms in external fields. Using the closed-orbit theory and classical perturbation theory, we calculate the scaled recurrence spectra of Lithium atom in magnetic field plus a weak perpendicular electric field. The results show when the crossed electric field is added, the recurrence spectra are weakened greatly. As the scaled electric field f increases, the peaks of the recurrence spectra lose strength. Some recurrences are very sensitive and fall off rapidly as f increases; others persist till much higher f . As the electric field is stronger, some of the peaks revive. This phenomenon, caused by the interference among the electron waves that return to the nucleus, can be computed from the azimuthal dependence of the classical closed orbits.     

钾原子基态的定量证明

用原子实模型简化钾原子的哈密顿,把原子实极化和轨道贯穿视为微扰,用微扰法计算了钾原子的能量,定量证明了钾原子的基态是4s态．     

Spin--polarized electronic properties of NiHe0.25 under pressures

This paper studies the effects of He atom on the spin-polarized electronic properties of nickel under pressures using ab initio pseudopotential plan-wave method.Under high pressures,the compound of NiHe0.25 can exist and helium-bubble can not create in Ni.A pressure-induced ferromagnetic to paramagnetic phase transition has been predicted in NiHe0.25 at about 218 GPa.It is found that under pressures,the magnetic property of Ni atoms is more strongly affected by He atom than by H atom and that the behaviour of He atom in Ni are completely different from that of H atom,like the bonding characteristics and the electron transfer.     

光脉冲序列对三能级原子重力仪测量精度的影响

提出了一种通过改变激光脉冲序列来提高三能级原子重力仪测量精度的方法.利用提出的描 写原子运动的3×3阶矩阵方法，分析了三能级原子与双色光场的正交相互作用，计算了 原子干涉仪中的相位差，得到了原子重力仪的相位差与重力加速度的关系.发现通过选择合 适的光脉冲序列，可以提高三能级原子重力仪的精度. 关键词： 原子光学 原子重力仪 矩阵方法