Semiempirical fine-tuning for Hartree–Fock ionization potentials of atomic ions with non-integral atomic number

Amovilli and March (2006) [8] used diffusion quantum Monte Carlo techniques to calculate the non-relativistic ionization potential I(Z)$I(Z)$ in He-like atomic ions for the range of (fractional) nuclear charges Z   lying between the known critical value _Zc=0.911$Z_{\mathrm{c}}=0.911$ at which I(Z)$I(Z)$ tends to zero and Z=2$Z=2$. They showed that it is possible to fit I(Z)$I(Z)$ to a simple quadratic expression. Following that idea, we present here a semiempirical fine-tuning of Hartree–Fock ionization potentials for the isoelectronic series of He, Be, Ne, Mg and Ar-like atomic ions that leads to excellent estimations of _Zc$Z_{\mathrm{c}}$ for these series. The empirical information involved is experimental ionization and electron affinity data. It is clearly demonstrated that Hartree–Fock theory provides an excellent starting point for determining I(Z)$I(Z)$ for these series.     

Stochastic electromagnetic plane-wave pulse with non-uniform correlation distribution

Stochastic electromagnetic plane-wave (SEPW) pulse with non-uniform correlation distribution is introduced. The realizability condition for such pulse is derived. It is found that the evolution properties of the intensity and the degree of polarization of an SEPW pulse with non-uniform correlation distribution in dispersive media are much different from those of an SEPW pulse with uniform correlation distribution.     

Structural Assignment of Stilbenethiols and Chalconethiols and Differentiation of Their Isomeric Derivatives by Means of 1H‐ and 13C‐NMR Spectroscopy

Abstract

The ¹H‐ and ¹³C‐NMR spectra of some substituted stilbenes and chalcones were assigned unambiguously on the basis of a combination of homo‐ (COSY) and heteronuclear (HETCOR) two‐dimensional methods, the chemical shifts, as well as spin‐coupling constants. The A_ik empirical parameters of the –O–C(S)–N(CH₃)₂, –S–C(O)–N(CH₃)₂, and –SH group were calculated to help predict the chemical shifts of substituted stilbenes, 4′‐nitrostilbenes, and chalcones. The ¹H‐ and ¹³C‐NMR spectra have been shown to be able to differentiate between the isomers of O‐stilbenyl (4, 5) and S‐stilbenyl N,N‐dimethylthiocarbamates (7, 8) as well as O‐chalconyl (6) and S‐chalconyl N,N‐dimethylthiocarbamates (9).     

On the transposition anti-involution in real Clifford algebras I: the transposition map

A particular orthogonal map on a finite-dimensional real quadratic vector space (V,?Q) with a non-degenerate quadratic form Q of any signature (p,?q) is considered. It can be viewed as a correlation of the vector space that leads to a dual Clifford algebra C?(V*,?Q) of linear functionals (multiforms) acting on the universal Clifford algebra C?(V,?Q). The map results in a unique involutive automorphism and a unique involutive anti-automorphism of C?(V,?Q). The anti-involution reduces to reversion (resp. conjugation) for any Euclidean (resp. anti-Euclidean) signature. When applied to a general element of the algebra, it results in transposition of the element matrix in the left regular representation of C?(V,?Q). We also give an example for real spinor spaces. The general setting for spinor representations will be treated in part II of this work [R. Ab?amowicz and B. Fauser, On the transposition anti-involution in real Clifford algebras II: Stabilizer groups of primitive idempotents, Linear Multilinear Algebra, to appear].     

数字散斑相关技术进展及应用

数字散斑相关技术是廿世纪末发展的一项光力学测量技术,历经20年各国学者的研究改进积累,目前已成为一种成熟的测量方法,并已成功地应用于力学测量中。本文回顾和叙述了这些进展,并列举在各方面的应用实例以进一步扩展其应用领域。数字散斑相关技术的八个关键问题即1.相关公式,2.搜索技术,3.亚像素搜索,4.散斑图,5.减噪,6.补偿技术,7.位移场至应变场转换,8.三维位移场测量。最后将叙述数字相关技术在材料测试、结构模型及实物监测、岩石力学、复合材料性能研究、生物力学等方面的广泛应用情况。     

视频通信中的多描述编码技术

比较全面地总结了近几年来视频通信中多描述编码方法的研究及进展情况,对今后视频多描述编码研究的重点和方向进行了展望.     

基于边缘的自适应相关跟踪算法

针对相关跟踪实时性差和误差累积问题,提出了基于边缘检测的自适应相关算法.采用修正后的灰度差的绝对平均值(MAD)相关匹配克服了对噪声敏感的缺点;利用目标的边缘信息确定模板中参与匹配的区域,并采用粗精结合的搜索策略,加快了匹配速度;采用模板加权更新和中心修正有效地消除了相关运算累积误差的影响.     

虚实部关联噪声驱动的单模激光的动力学性质

基于虚、实部互关联的量子噪声及泵噪声驱动的单模激光模型的Fokker—Planck方程,运用平均弛豫近似方法研究了该激光模型的动力学性质。计算了光强关联函数以及相应的平均弛豫时间,讨论了量子噪声实虚部的互关联强度对光强关联函数以及弛豫时间的影响。结果表明,在阈值以上量子噪声实、虚部关联的存在总是使得光强涨落的弛豫变缓。     

信号调制噪声对单模激光光强关联函数的影响

采用受信号调制色泵噪声和实虚部关联量子噪声驱动的单模激光损失模型,用线性化近似方法研究反映单模激光统计性质的重要物理量光强关联函数C(t)随时间t的演化,发现当色泵噪声自关联时间τ变化时,C(t)随时间t的演化会出现单调衰减,单调上升,出现一个极大值,周期性振荡衰减等多种形式。当τ确定时,量子噪声实虚部间关联的加强会使C(t)的值减小;量子噪声强度Q的增大会使C(t)的值增大;泵噪声强度P的增大会延缓C(t)随时间t的衰减。