介质极化的瞬时相位与振幅

求解电子运动的二阶微分方程，在旋转波近似下，介质在外场突然变化时产生的瞬态感应极化与外场同频，但相位总是落后，最大落后为π/2；振幅大小与初态有关，随时间按指数规律衰减，衰减快慢由介质的阻尼系数决定。     

STABLE SOLUTION OF TIME DOMAIN INTEGRAL EQUATION METHODS USING QUADRATIC B-SPLINE TEMPORAL BASIS FUNCTIONS

This paper is concerned with stable solutions of time domain integral equation （TDIE） methods for transient scattering problems with 3D conducting objects. We use the quadratic B-spline function as temporal basis functions, which permits both the induced currents and induced charges to be properly approximated in terms of completeness. Because the B-spline function has the least support width among all polynomial basis functions of the same order, the resulting system matrices seem to be the sparsest. The TDIE formula-tions using induced electric polarizations as unknown function are adopted and justified. Numerical results demonstrate that the proposed approach is accurate and efficient, and no late-time instability is observed.     

一维含负折射率材料结构中原子的瞬时自发辐射

负折射率材料是一种新型的人工材料，其介电常数和磁导率同时小于零，导致了折射率小于零。当电磁波入射到正负折射率材料的界面上，将会产生负的折射现象。因此单个负折射率材料板能起到能量汇聚的作用。用正负折射率交替排列组成的一维光子晶体能产生不同于通常布拉格带隙的零平均折射率带隙。这种带隙能抑制几乎全方向的辐射，从而能对原子自发辐射产生更强的抑制作用。J．Kastel和M．Fleischhauer最近提出用理想负折射率材料板加上理想反射镜，在适当条件下会完全抑制原子的自发辐射。本文我们考虑在包含实际负折射率材料—有色散和吸收—的一维结构对原子自发辐射的影响。     

Double-Humped Transverse Density Profile in Two-Dimensional Chute Flow with Rough Sidewalls

We study a two-dimensional granular rapid flow with rough sidewalls stuck with the same size discs by molecular dynamics simulation. A transient state of the double-humped density profile in the flowing process has been found, which appears and moves as travelling wave and is the same as the phenomena in the recent experiments [Acta Phys. Sin. 53 （2004） 3389 （in Chinese）]. Our simulation shows that the rough sidewalls play an important role in the converting momentum of boundary discs from the vertical direction to the horizontal one through particle collisions to form this profile and the good elasticity of discs ensures this effect. The appearance of the double-humped profile may be a precursor, which determines if the whole flow will be far repulsed from the boundary and become dilute eventually.     

教学研究:介绍量子力学几个基本概念——兼答《关于量子几何相位的评注》中的几个主要问题

介绍了量子绝热定理的物理含义及成立的条件，认为有关主要献（Aharonov-Anandan,Bohm，孙昌璞等）的表述是正确的，而《关于量子几何相位的评注》^[1]（以下简称《评注》）相应的表述不完全正确。在此基础上，认为这些献和教材（R.Shankar)得出的涉及Berry绝热相位的一些论述（不含Berry绝热相因子的瞬时能量本征态不满足含时Schroedinger方程等）也是正确的，而《评注》的论述与此相反。《评注》认为只有γn(C)才是Berry相位。本作则倾向于把γn（t）叫做Berry绝热相位，而把γn（C）=γn（T）-γn（0）叫做几何相位（geometric phase)^[2]。     

Transient Spectroscopic Properties of [60] Fullerene—Containing Cyclic Sulphoxide

The properties of the triplet excited state of [60] fullerene-containing cyclic sulphoxide have been investigated by time-resolved absorption spectroscopy. Transient absorption bands of [60] fullerene-containing cyclic sulphoxide showed two decay-components, which wrer attributed to triplet excited states of different spin multiplicity. The properties of photoexcited states of [60] fullerene-containing cyclic sulphoxide are also reported.     

铂电极响应非电对离子的机理研究——Ⅰ.铂电极对Pb~(2+),Cd~(2+),Ca~(2+),Mg~(2+)的响应

铂电极对非电对离子的瞬时响应机理可用沉淀基离子选择电极对K_(XY)<<1的干扰离子瞬时响应的“混合相形成”模式解释。瞬时讯号峰高度与M(OH)_2的溶解度和M~(2+)的水合能有关。Pb~(2+)和Cd~(2+)的瞬时讯号正峰高度与lga_M呈Nernst关系,而Ca~(2+)和Mg~(2+)不是这种情况。所有离子的平衡电位不是Nernst响应。     

具瞬时脉冲接种与非瞬时脉冲接种效应的一类新的SIR传染病模型研究

本文研究了瞬时脉冲接种与非瞬时脉冲接种效应的SIR传染病模型的问题.利用频闪映射和Floquet定理以及脉冲微分方程理论的方法,获得了模型无病周期解的存在性和疫苗接种的控制阈值的结果,推广了瞬时脉冲接种率与非瞬时脉冲接种区间长度对疾病灭绝起着重要作用的结论,为实际传染病控制提供了可靠的策略支持.     

射流冷却下氧化二叔丁基瞬时热解反应的研究

采用射流冷却和高温瞬时热解技术研究了过氧化二叔丁基产物的质量分布和飞行时间谱。ＤＴＢＰ解离率与热解温度的关系表明，１３００Ｋ时ＤＴＢＰ全部解离。     

高效液相色谱—电感耦合等离子体发射光谱联用的瞬时信号采集和处…

本文对高效液相色液相色谱－电感耦合等离子体原子发射光谱联用技术进行了研究。对所用ＩＣＡＰ－９０００型等离子体原子发射光谱仪的控制采样程序进行了部分修改，采集的数据通过异步串行通讯方式由ＡｐｐｌｅⅡ微机传送至ＩＢＭＰＣ２８６机进行处理。发展的时信号３采集程序能满足ＨＰＬＣ的检测要求，并净这一联用技术成功的用于砷的形态分析。