弱结合分子Kr-HF结构与相关效应

采用二阶、三阶MollerPlesset微扰理论方法(MP2,MP3),组态相互作用方法(QCISD)在不同的基组下对弱结合分子体系KrHF进行了abinitio计算,得到了KrHF体系的两个不同的线型平衡几何结构:KrHF和KrFH.对于KrHF分子,在MP2/6311++G水平上得到Kr与HF分子中心的间距为037787nm,离解能为61480eV,谐振频率分别为ν1(σ)=41879638cm-1,ν2(π)=1622953cm-1,ν3(σ)=418689cm-1.并计算得到了这两个分子构型的热力 关键词：     

荷能离子在C60薄膜中引起的辐照效应

用 Raman散射和 XPS技术分析了能量为几百 ke V到几百 Me V的多种离子在 C60 薄膜中引起的辐照效应.分析结果表明 ,在低能重离子辐照的 C60 薄膜中 ,其晶态向非晶态的转变过程是由核碰撞主导的.在快离子 (1 2 0 ke V的 H离子和171.2 Me V的 S离子 )辐照的情况下,电子能损起主导作用.发现在H离子辐照过程中,电子能损有明显的退火效应 ,致使 C60 由晶态向非晶态转变的过程中,经历了一个石墨化的中间过程;而在 S离子辐照的情况下 ,电子能损的破坏作用超过了退火效应 ,因此 ,在C₆₀ 由晶态向非晶态转变的过程中,无石墨化的中间过程.Irradiation effecs (mainly including transformation from crystalline into amorphous state) of C 60 films induced by 120 keV H, He, N, Ar, Fe and Mo ions, 240 keV and 360 keV Ar ions, and 171.2 MeV, 125.3 MeV and 75.8 MeV S ions were analysed by means of Raman scattering and XPS technique. The analysis results indicate that amorphization process in the cases of N, Ar, Fe and Mo ions irradiation is dominated by nuclear collision, but in the case of H ion irradiation, the process is...     

流体饱和多孔圆柱体的声波散射

依据BiotStoll的流体饱和多孔媒质声传播理论,考虑了流体粘滞和骨架非弹性损耗引起的衰减因素,研究了多孔圆柱体对平面声波的散射特性.计算了在开孔和闭孔状态下多孔圆柱的背向散射形式函数和散射声强的方向分布,以及边界处的力学状况和声传播中的损耗因素对散射特性的影响.利用宽带超声实验系统测量了多孔圆柱的背向散射谱.实验测量结果与理论预计值符合得较好 关键词：     

线性模型中均值向量的LSE和BLUE的偏差估计

对于线性模型 Y=Xβ+e,E(e)=0,cov(e)=σ~2∑,∑≥0μ=Xβ的LSE和BLUE分别为■=X(X′X)-X′Y和μ~*=X(X′T-X)-X′T-Y,其中T=∑+XUX′,U是对称阵且使Rank(T)=Rank(∑X)和T≥0,本文证明了‖■-μ~*‖_2≤(λ_r-λ_ζ)/(2(λ+λ_k)~(1/2))‖Y-■‖_2这里λ_4=ch_4(T),i=1,2,…,n,λ_1≥…≥λ_n≥0。k=Rank(X),‖a‖_2=(a′a)~(1/2),并且给出了‖cov(■)-cov(μ~*)‖_s‖PT~2P-(PTP)~2‖_s和‖(cov+(μ~*))~(1/2)cov(■)(cov+(μ~*))~(1/2)‖s的上界,这里‖A‖_s=(tr(A′A)~(3/2))~(■),s≥1。     

连续时间折扣矩最优模型及其与离散时间拟折扣矩最优模型的关系——Q 矩阵族未必保守的情形

本文是首次在转移率矩阵族为一般 Q 矩阵族(未必保守亦未必一致有界)的条件下,研究状态空间与决策集均为可数集的连续时间折扣矩最优模型(M_k-CTMDP);提出离散时间折扣依赖于状态与决策的拟折扣矩最优模型(β_k-GTMDP);并揭示二者之间的关系;给出在 f~∞下折扣总报酬 k 阶矩向量 μ_k(f)满足:kαμ_k(f)=kr(f)(?)μ_(k-1)(f)+Q(f)μ_k(f)及μ_k(f)=kP~(min)(kα,f)(r(f)(?)μ_(k-1)(f))的简洁表达式;给出报酬矩最优是矩最优方程组唯一有界解的一个很弱的充分条件与解法;给出矩最优策略存在的充要条件与若干性质.本文结果对 MDP 理论的发展与应用有重要意义,而且对跳跃型马氏过程的一类积分型泛函的研究与应用也颇有意义.     

Behavioral portfolio selection with loss control

In this paper we formulate a continuous-time behavioral (à la cumulative prospect theory) portfolio selection model where the losses are constrained by a pre-specified upper bound. Economically the model is motivated by the previously proved fact that the losses occurring in a bad state of the world can be catastrophic for an unconstrained model. Mathematically solving the model boils down to solving a concave Choquet minimization problem with an additional upper bound. We derive the optimal solution explicitly for such a loss control model. The optimal terminal wealth profile is in general characterized by three pieces: the agent has gains in the good states of the world, gets a moderate, endogenously constant loss in the intermediate states, and suffers the maximal loss (which is the given bound for losses) in the bad states. Examples are given to illustrate the general results.     

The global attractor of a non-local PDE model with delay for population dynamics in ℝ<Superscript><Emphasis Type="Italic">n</Emphasis></Superscript>

In this paper, we consider a non-local PDE model with delay for population dynamics in ℝ ⁿ . First, we prove the existence and uniqueness of weak solutions under some suitable decayed assumptions on non-local term at infinity. Then, we obtain the global attractor by proving ω-limit compactness property of the solution operator semigroup.     

Bootstrap approximation of wavelet estimates in a semiparametric regression model

The inference for the parameters in a semiparametric regression model is studied by using the wavelet and the bootstrap methods. The bootstrap statistics are constructed by using Efron＇s resampling technique, and the strong uniform convergence of the bootstrap approximation is proved. Our results can be used to construct the large sample confidence intervals for the parameters of interest. A simulation study is conducted to evaluate the finite-sample performance of the bootstrap method and to compare it with the normal approximation-based method.     

世界图书出版公司北京公司影印物理类新书推荐

量子比特可借助于各种物理量进行编码，例如，光子的极化态，原子的自旋态等．为了使量子比特实际有用，它们与外部世界的随机耦合（退相干效应）必须被尽力避免．光子在传输的进程中本征退相干效应极小．但是，当光信号在光纤中传输时，它的强度会衰减．衰减的程度随传输距离以指数方式增大，例如，15km衰减到1／2，100km衰减到1／100．对于经典通信来说，中继器起放大信号的作用．但是，经典中继器不能被用于量子通信，因为它的噪声太大，以至于产生太多的错误量子比特．正在被研发的量子中继器，实际上是一个量子微处理器．它能够存储和处理一个一个的量子比特，并保证量子态的高保真复现。     

一维双流体分层/段塞流模型的特征根分析

采用特征根方法对描述水平和倾斜管内气液分层流/段塞流的一维双流体模型进行适定性分析.系统分析了气液两相密度、粘性和管道倾角对一维双流体模型适定性的影响。计算结果表明:液相密度、气相粘性和管道下倾角的增大能拓宽方程组求解的适定区域;适定界线与气液两相流流型转变界线之间存在内在联系.