三次可解型非退化李代数及其导子李代数的结构

本文给出了非退化可解李代数的两个类型:三次可解型非退化李代数和扩充的 Heisenberg李代数,并确定三次可解型非退化李代数及其导子李代数的结构．     

PEDOT基光子晶体的制备及其电致变色性能研究

采用改进的Stöber法合成了单分散SiO₂微球, 通过垂直沉积组装成蛋白石结构光子晶体. 再使用电化学法在组装的SiO₂微球表面生成聚(3,4-乙撑二氧噻吩)(PEDOT), 得到核-壳结构的SiO₂@PEDOT光子晶体复合膜. 测试了SiO₂@PEDOT光子晶体薄膜的反射光谱、循环伏安曲线、多电位紫外反射光谱、对比度及响应时间等光学、电化学及电致变色性能. 结果表明, 该光子晶体薄膜在变色时颜色亮丽, 其色差值(26.82)比纯PEDOT薄膜(18.07)提高很多, 并且最大对比度可达39.8%, 高于纯PEDOT薄膜的27.4%, 同时响应时间变快. 此实验结果说明将光子晶体结构引入导电聚合物中, 能够提高其电致变色性能.     

Gravitational Deflection of Light in Rindler-Type Potential as a Possible Resolution to the Observations of Bullet Cluster 1E0657-558

The surface density Σ-map and the convergence κ-map of Bullet Cluster 1E0657-558 show that the center of baryonic matters separates from the center of gravitational force,and the distribution of gravitational force do not possess spherical symmetry.This hints that a modified gravity with difference to Newtonian inverse-square law at large scale,and less symmetry is worth investigating.In this paper,we study the dynamics in Randers-Finsler spacetime.The Newtonian limit and gravitational deflection of light in a Rindler-type potential is focused in particular.It is shown that the convergence in Finsler spacetime could account for the observations of Bullet Cluster.     

草酸对酚酞基聚芳醚砜超滤膜性能和结构的影响

以新型耐高温工程塑料一含酚酞侧基的聚芳醚砜（PES-C）为膜材料,N,N-二甲基乙酰胺（DMAc）为溶剂,通过改变铸膜液中添加荆草酸的含量,采用相转化法在平板刮膜机上制备了一系列超滤膜,考察了添加荆草酸含量对铸膜液粘度、凝胶速度、膜性能和结构的影响,研究了PES-C／DMAC体系中添加荆草酸作用的规律。     

Holographic Dark Energy Model is Consistent with Pantheon SN Ia Data

We constrain three cosmological models,i.e.,ACDM model, holographic dark energy(HDE) model and R_h = ct model by using the recent Pantheon compilation of type la supernovae(SN la), the direction measurements of Hubble parameter H(z), and the baryon acoustic oscillations(BAO). The spatial curvature is considered in the ACDM model and the HDE model. We show that the HDE model in a spatially flat and HDE dominate universe has the same behavior as Rh = ct model if the characteristic parameter of the HDE model C_0 approaches to infinity. Numerical results show that the ACDM model is the best favoured one among the three models. The HDE model is consistent with observational data, the best fitting value of C_0 is around 0.8, which implies that the Rh = ct model should be modified to be compatible with the present cosmological observational data. Combing all the datasets, we give strict constraint on the Hubble constant,where h_0=0.694 ± 0.020 for the ACDM model and h_0= 0.689 ±0.019 for the HDE model.Our results imply that the tension of Hubble constant between Planck collaborations and Riess et al. has been partially relaxed. The constraint on the spatial curvature is also given,where Ω_(k0) =-0.066 ± 0.165 for the ACDM model andΩ_(k0)=0.029 ± 0.067 for the HDE model.     

Testing the variation of the fine structure constant with strongly lensed gravitational waves

The possible variation of the electromagnetic fine structure constant, αe, at cosmological scales has aroused great interest in recent years. Strongly lensed gravitational waves(GWs) and their electromagnetic counterparts could be used to test this variation. Under the assumption that the speed of a photon can be modified,whereas the speed of a GW is the same as predicted by general relativity, and they both propagate in a flat FriedmanRobertson-Walker universe, we investigated the difference in time delays of the images and derived the upper bound of the variation of αe. For a typical lensing system in the standard cosmological models, we obtained B cosθ 1.85×10~(-5),where B is the dipolar amplitude and θ is the angle between observation and the preferred direction. Our result is consistent with the most up-to-date observations on αe. In addition, the observations of strongly lensed GWs and their electromagnetic counterparts could be used to test which types of alternative theories of gravity can account for the variation of α_e.     

Nonadiabatic Geometric Phase in Composite Systems and Its Subsystem

We point out that the time-dependent gauge transformation technique may be effective in investigating the nonadiabatic geometric phase of a subsystem in a composite system. As an example, we consider two uniaxially coupled spin -1/2 particles with one of particles driven by rotating magnetic field. The influences of coupling and precession frequency of the magnetic field on geometric phase are also discussed in detail.     

演示无线电共振作用的实验装置

中學物理課的無線電部分,需要‘電之共振’實驗,但一般的實驗仪器過於簡單,效果很低。如共振來頓瓶,操作困難並且共振火花極其微弱,不便演示;而使用毫安計指示的諧 振电路则线路又过於繁複,也不好作为最初的实验。我校物理组在讲授无线电基本知识时,使用了一种效果较好的演示实验装置,能很明显的指出无线电波的确可以在空间传递,实验埸所不需要很大(在两立方米的空间就可以进行),发射和接收作用可以在讲桌上同时表现出来,因而能够树立最初的关於‘电波’的概念;另外,因为该线路是仿波波夫的原始线路组成的,在讲课时可以同时提及无线电的发明人波波夫和他的雷电报知器。这里,我们愿意把该实验按照我们的设计整理出来,提供教学参考和共同研究改進。     

三(1-氧代-1-磷杂-2,6,7-三氧杂双环[2.2.2]辛烷-4-亚甲基)磷酸酯的合成、晶体结构及热性能

由季戊四醇和三氯氧磷出发，经由两步反应合成了三（1－氧代－1－磷杂－2，6－7－三氧杂双环[2.2.2]辛烷－4－亚甲基）磷酸酯（Trimer)，并采用元素分析，FTIR，^1H NMR,^31P NMR及X射线四圆 新化合物的分子结构。结果分析表明，Trimer分子中含3个结构高度对称的双环笼状磷酸酯单元，属单斜晶系，Cc空间群，晶胞系数为a=1.2754(3)nm,b=1.8582(4)nm,c=1.1269(2)nm,V=2.3242(8)nm^3,Z=4，最终偏离因子R＝0.0322,Rω＝0．0907。TG－DTA与DSC结果表明，Trimer具有优异的热稳定性与成炭性能，将成为一种高效能的膨胀型阻燃剂。     

非对易相空间中的狄拉克振子的能级和Wigner函数

非对易几何、弦论和圈量子引力理论的发展,使非对易空间受到越来越多的关注.非对易量子理论不同于平常的量子理论,它是弦尺度下的特殊的物理效应,处理非对易量子力学问题需要特殊方法.本文首先介绍了Moyal方程与Wigner函数,利用Moyal-Weyl乘法与Bopp变换将H(x,p)变换成^H(^x,^p),考虑坐标—坐标、动量—动量的非对易性,实现对非对易相空间中星乘本征方程的求解.并利用非对易相空间量子力学的代数关系,讨论了非对易相空间中狄拉克振子的Wigner函数和能级,研究结果发现非对易相空间中狄拉克振子的能级明显依赖于非对易参数.