Sc+18离子1s23d-1s2nf的跃迁能和偶极振子强度

用全实加关联方法计算了类锂Sc+18离子1s23d-1s2nf(4≤n≤9)的跃迁能和1s2nf(n≤9)态的精细结构. 依据量子亏损理论确定了该Rydberg系列的量子数亏损,用这些作为能量的缓变函数的量子亏损,可以实现对任意高激发态(n≥10)的能量可靠的预言. 利用在计算能量过程中确定的波函数,计算了Sc+18离子1s23d-1s2nf的偶极跃迁在三种规范下振子强度;将这些分立态振子强度与量子亏损理论相结合,得到在电离阈附近束缚态-束缚态跃迁振子强度以及束缚态-连续态跃迁振子强度密度,从而将Sc+18离子的这一重要光谱特性的理论预言外推到整个能域.     

V^20＋离子1s^23d-1s^2nf的跃迁能和振子强度

用全实加关联方法计算了类锂V^20＋离子1s^23d-1s^2nf的跃迁能和偶极振子强度．依据量子亏损理论，确定了1s^2nf系列的量子数亏损，用这些作为能量的缓变函数的量子亏损，实现对该Rydberg系列任意高激发态（n≥10）的能量的可靠预言．将这些分立态振子强度与量子亏损理论相结合，得到在电离域附近束缚态间的偶极跃迁振子强度以及束缚态一连续态跃迁的振子强度密度，从而将V^20＋离子的这一重要光谱特性的理论预言外推到整个能域．     

Energy and fine structure of 1s2np(n≤9) states for lithium-like systems from Z=11 to 20

A new variation method is extended to study the atomic systems with higher nuclear charges and in more highly excited states. The non-relativistic energies of 1s^2np (n≤9) states for the lithium-like systems from Z=11 to 20 are calculated using a full-core-plus-correlation method with multi-configuration interaction wavefunctions. Relativistic and mass-polarization effects on the energy are calculated as the first-order perturbation corrections. The fine structures are determined from the expectation values of spin-orbit and spin-other-orbit interaction operators in the Pauli－Breit approximation. The quantum-electrodynamics correction is also included. Our results are compared with experimental data in the literature.     

原子体系的电子在核处密度的严谨判据

利用Galvez-Porras的关于电子在核处密度的精确的不等式建立了电子在核处密度的严谨判据.本文对锂原子1s22p组态的电子在核处密度的上界定义的Rm值进行了测试,最后的结果表明这套不等式可作为原子体系的电子在核处密度的严谨判据.     

Calculations of 2s^2S1／2—2P^2P1／2,3／2 Transition Energies for Lithium—Like Systems from Na IX to Ca XⅧ

The transition energies (2ss S1/2-2p2P1/2,3/2) of lithium-like systems with nuclear charge from Z=11-20 are calculated by using a full-core plus correlation method.Relativistic and mass-polarization effects on the energies are included as the first-order perturbation corrections.The quantum-electrodynamics contributions to the transition energy are evaluated by using efective nuclear charge.Our results are in excellent agreement with previous theoretical and experimental data available in the literature.     

完全图全符号控制数的较小上界和下确界

设图G=G(V,E),令函数f∶V∪E→{-1,1},f的权w(f)=∑x∈V∪Ef[x],对V∪E中任一元素,定义f[x]=∑y∈NT[x]f(y),这里NT[x]表示V∪E中x及其关联边、邻点的集合.图G的全符号控制函数为f∶V∪E→{-1,1},满足对所有的x∈V∪E有f[x]1,图G的全符号控制数γT(G)就是图G上全符号控制数的最小权,称其f为图G的γT-函数.本文得到了完全图全符号控制数的一个较小上界和下确界.     

Charge density at the nucleus and radial behavior of ground state for lithium-like ions with Z = 21 to 30

By using the full-core plus correlation (FCPC) type wave functions, the accurate charge densities ρ(0) at the nucleus and the radial expectation values of the ground states for the lithium-like systems with Z = 21 to 30 are obtained. The determinantal conditions and the electron-nucleus cusp condition are used to calculate the inequalities of the upper and the lower bounds to ρ(0) with two or more expectation values. These inequalities, derived by Angulo and Dehesa [Phys. Rev. A 44 1516 (1991)], are verified to be also valid for these ions with higher nuclear charge. The present results show that the wave functions used in this paper are satisfactory in the whole configuration space for these ions with higher nuclear charge.     

D(2)-点可区别正常边色数的一个上界

图G的D(β)-点可区别正常边染色是指G的一个正常边染色f使得对任意两点u,v∈V(G),0相似文献   

关于图K_(2n)-E(C_4)的点可区别边色数

图G的一个k-正常边染色f被称为点可区别边染色是指任何两点的点及其关联边的色集合不同,所用最小的正整数k被称为G的点可区别边色数,记为x′_(vd)(G).用K_(2n)-E(C_4)表示2n阶完全图删去其中一条4阶路的边后得到的图,文中得到了K_(2n)-E(_4)的点可区别边色数.     

一类3-正则图的邻强边染色

对简单图G(V,E),f是从V(G)∪E(G)到{1,2,…,k}的映射,k是自然数,若f满足(1)uv,uw∈E(G),u≠w,f(uv)≠f(uw);(2)uv∈E(G),C(u)≠C(v).则称f是G的一个邻强边染色,最小的k称为邻强边色数,其中C(u)={f(uv)|uv∈E(G)}.给出了一类3-正则重圈图的邻强边色数.