求解隐式差分方程的并行算法

本文研究了求解隐式差分方程的并行算法,其基本想法是把差分方程组化为若干个子方程组来求解,文中给出了直接法和迭代法,证明了迭代法的收敛性。为了说明分段隐式迭代方法的有效性,文中针对扩散方程的具体例子给出了数值试验计算结果。     

三体相互作用下三势阱中玻色-爱因斯坦凝聚体的稳定性研究

着重研究受到非弹性碰撞相互作用,即考虑有三体复合耗散和原子填充时三势阱中玻色-爱因斯坦凝聚体的动力学性质.运用三模近似,得到三个耦合的GP方程,用数值的方法得到不同散射长度的数值结果,展示了玻色-爱因斯坦凝聚体在零相位和π相位时,会出现自俘获及量子隧穿现象,且定态解的稳定性与相位有关.     

Spin Correlations in Top Quark Pair Production Near Threshold at the e^＋e^- Linear Collider

We investigate the spin correlations in top quark pair production near the threshold at the e^ e^- linear collider. Comparing with the results above the threshold region, we find that near the threshold region the off-diagonal basis, the optimized decomposition of the top quark spins above the threshold region, does not exist, and the beamline basis is the optimal basis, in which there are the dominant spin components: the up-down (UD) component for e^-le^ scattering and the down-up (DU) component for eR^-e^ scattering can make up more than 50% of the total cross section,respectively.     

Transport dynamics of an interacting binary Bose Einstein condensate in an incommensurate optical lattice

We investigate the transport dynamics of an interacting binary Bose-Einstein condensate in an incommensurate optical lattice and predict a novel splitting of a matter wavepacket induced by disorder potential and inter-species interaction. The effect of atomic interaction on the dynamics of the mobile and localized atoms are also studied in detail. We also discuss the behavior of the balanced and inbalanced mixtures in the incommensurate optical lattice.     

CORDIC迭代法快速计算LED显示屏色域边界

针对色域映射过程中快速并精确地计算出任意映射线与色域边界交点坐标的问题,提出一种基于改进的CORDIC算法的迭代逼近求解方法。该方法利用CIE LUV颜色空间的特性可沿映射线逼近边缘交点。无需边界搜索和插值计算过程,可大量节省存储器资源和计算时间,并具有较高的计算精度和广泛的适用性。文章详细分析了算法的计算原理、精度和速度,并以LED显示屏为例,在D65标准光源下进行边界拟合并做出误差分析。实验结果表明:12次迭代运算后,拟合边界非常光滑,最大色差值仅为0.16,计算500个映射线交点的总计算时间约为1 s。与插值类计算方法相比,最大色差值降低了2.15,计算时间从10 s降低到1 s,速度提高了近10倍。     

光谱法研究葛根素与牛血清白蛋白的相互作用

采用紫外、同步荧光和圆二色光谱法研究了葛根素（PUE）与牛血清白蛋白（BSA）的相互作用.紫外光谱表明,BSA在230nm和278nm处的吸收峰,随着葛根素浓度的增加而减小.同步荧光光谱表明,葛根素引起BSA中色氨酸残基所处微环境的疏水性降低.圆二色光谱表明,BSA在208nm和222nm处的负峰随着葛根素浓度的增加而增强,BSA中α-螺旋含量也随之增加.这表明葛根素与BSA的相互作用,可使蛋白质分子的疏水作用增强,导致BSA的肽链结构收缩,蛋白质的构象发生变化.     

On physics beyond standard model

In this review we do not try to cover all the aspects of physics besnd tile standard model （BSM）, instead our latest understanding on tile BSM will be presented： i） Tile Higgs sector is likely related to BSM, which can be confirmed at current running large hadron collider （LHC） or tile fllture eolliders. Furthermore we pointed out that spontaneous CP violation can be closely related to the lightness of the Higgs boson, ii） Top quark forward-backward asymmetry, which was mea.sured by Tewttron, might be the sign of BSM.2; proposed a new color-octet particle Zcr to account fi）r the observation and Z can be fllrther studied at the LHC. iii） If dark matter （DM） is utilized to accommodate astrophysical obserwtions, it ought to be observed at the high energy LttC and DM produced at colliders should be tile slnoking gun signal, iv） Lithium puzzle might also be the sign of the BSM. We briefly review tile newly proposed solution to Lithium puzzle, i.e.. the existonce of non-thermal component during the big bang nuclei-synthesis （BBN）. The possible origins of the non-thermal coinponent can be dark matter or the new accelerating mechanism of normal particles.     

柚皮素7-O-葡萄糖苷非对映异构体的NMR波谱分析

二氢黄酮糖苷化后产生的R与S构型非对映异构体在¹H NMR谱上会呈现一些差别,但文献对其差别描述非常有限.为便于利用¹H NMR谱图判断二氢黄酮糖苷的R与S构型非对映异构体,本文首先在植物药皂荚提取物中分离得到一种二氢黄酮苷-柚皮素7-O-葡萄糖苷R与S构型混合物,分析其氘代二甲亚砜（DMSO-d₆）溶液的¹H NMR、¹³C NMR、¹H-¹H COSY、¹H-¹³C HSQC和¹H-¹³C HMBC谱,对其¹H和¹³C NMR谱峰进行了归属;然后,采用手性色谱柱对该混合物进行分离,结合圆二色光谱（CD）技术确定构型;最后,为鉴别R与S构型柚皮素7-O-葡萄糖苷在¹H NMR谱中特征差别谱峰,避免葡萄糖残基质子对二氢黄酮苷元质子化学位移的影响,采集了R与S构型柚皮素7-O-葡萄糖苷及其混合物氘代乙腈（CD₃CN）溶液的NMR谱,结果显示葡萄糖残基端基质子H-1″化学位移差别最为明显,为9.4 Hz;5-位酚羟基质子化学位移差别为5.8 Hz,C环上3个质子化学位移差也较明显．     

Dy~(3+),Sm~(3+)共掺杂Ca_2A1[AlSiO_7]荧光粉的发光性质研究

采用高温固相反应法合成了一系列Dy~(3+)、Sm~(3+)单掺杂和共掺杂铝方柱石发光材料,详细地研究了Dy~(3+)、Sm~(3+)掺杂对铝方柱石的结构和发光性质的影响。XRD结果表明Dy~(3+)、Sm~(3+)离子单掺杂和共掺杂样品均形成了单相的铝方柱石结构化合物,并没有改变基质的晶体结构。发光光谱表明,通过调节Dy~(3+)、Sm~(3+)离子的掺杂比例,发光颜色可实现从黄色到黄白色的可控调节。此外,发射和激发光谱表明,Dy~(3+)与Sm~(3+)离子之间存在有效的光谱重叠,暗示着Dy~(3+)→Sm~(3+)的能量传递。荧光寿命衰减结果进一步证实Dy~(3+)与Sm~(3+)离子之间是一种无辐射共振能量传递方式。