Convex vector lattices and l-algebras

For A an Archimedean Riesz space (=vector lattice) with distinguished positive weak unit e_A, we have the Yosida representation  as a Riesz space in D(X_A), the lattice of extended real valued functions on the space of e_A-maximal ideas. This note is about those A for which  is a convex subset of D(X_A); we call such A “convex”.Convex Riesz spaces arise from the general issue of embedding as a Riesz ideal, from consideration of uniform- and order-completeness, and from some problems involving comparison of maximal ideal spaces (which we won't discuss here; see [10]).The main results here are: (2.4) A is convex iff A is contained as a Riesz ideal in a uniformly complete Φ-algebra B with identity e_A. (3.1) Any A has a convex reflection (i.e., embeds into a convex B with a universal mapping property for Riesz homomorphisms; moreover, the embedding is epic and large).     

Quantum groups and diagonalization of the braid generator

It is shown that the braid generator is diagonalizable on arbitrary tensor product modules V V, V an irreducible module for a quantum group. A generalization of the Reshetikhin form for the braid generator is thereby obtained in the general case. As an application, a general closed formula is determined for link polynomials.     

Solution of a diffusion equation of smoke molecules due to constant point source in gravitational field

From both the Langevin equation, including a gravitational term, the Fokker-Planck equation based on the dynamical behavior of Brownian particles, and equation of smoke molecular diffusion due to a constant point source is introduced and is solved by applying the Laplace transformation with the convolution theorem.The solution is expressed by the complementary error function with a mean pathway of smoke molecules affected by gravity and is proved to be reduced to conventional forms by a certain restriction neglecting gravity without any forced term.     

Entropy,the central limit theorem and the algebra of the canonical commutation relation

The central limit theorem of Cushen and Hudson is reformulated on the algebra of the CCR. Namely, for a gauge invariant state , the weighted convolutions _n of the central limit tend to the quasi-free reduction _Q of pointwise. It is proved that if the initial relative entropy S(, _Q ) is finite, then S( _n , _Q ) goes to 0 and so _n – _Q 0. No restriction on the dimension of the test function space is made.     

HL-2A 装置的边缘参数测量

HL-2A 装置中平面边缘的等离子体特性通过磁力传动的马赫/ 雷诺协强/ 朗缪尔10 探针组进行了研究。10 探针组安装在可径向向里和向外移动, 并可绕轴旋转360^o 的传动杆上, 用于测量主等离子体边缘的温度、密度、悬浮电位、空间电位、径向和极向电场、湍流的雷诺协强、径向和极向等离子体流速及其径向分布。HL- 2A 装置的实验结果表明, 边缘等离子体扰动诱发的雷诺协强产生了边缘极向流; 雷诺协强的径向梯度驱动带状流抑制了湍流输运。     

Ba10(PO4)4(SiO4)2∶Eu2+荧光体的光谱特性

采用高温固相法合成了荧光体Ba₁₀（PO₄）₄（SiO₄）₂：Ce³⁺和Ba₁₀（PO₄）₄（SiO₄）₂：Eu²⁺,研究了两种荧光体的光谱特性。结果表明,两者都呈现较强的宽带激发特征。根据同种基质中Eu²⁺和Ce³⁺两种离子光谱特征的相关性,通过测得的Ba₁₀（PO₄）₂（SiO₄）₂基质中Ce³⁺的光谱数据估算了Ba₁₀（PO₄）₂（SiO₄）₂：Eu²⁺中Eu²⁺的斯托克斯位移（ΔS）和激发能量,估算结果与Ba₁₀（PO₄）₂（SiO₄）₂：Eu²⁺样品的光谱分析结果十分吻合。Ba₁₀（PO₄）₂（SiO₄）₂：Eu²⁺可以同时被紫光和蓝光激发,发出偏白的绿光,可用作白光LED的荧光粉。     

双轴晶体主平面上倍频的相位匹配参量

根据折射率椭球方程及双光轴晶体中光波的传播与偏振特性，分析双轴晶体在主平面内激光倍频相位匹配的特性与方法，导出光波在主平面上传播时倍频的相位失配关系；给出双轴晶体中容许相位匹配倍频的相位匹配角及混频的有效非线性系数deff的表达式。利用可相位匹配的类型、相位匹配角公式和有效非线性系数deff表达式的表，容易对任意一具体晶体在一给定波长求出实际能实现相位匹配的类型或偏振组合，算出相位匹配角，比较不同的相位匹配类型或偏振组合的有效非线性系数，选择最佳的相位匹配类型与方向。从相位失配关系可以计算晶体主平面内倍频的接收角、接收光谱宽度等特性参量。     

光纤型偏振器消光比测试方法研究

介绍了单模光纤偏振器和保偏光纤偏振器 (包括研磨型保偏光纤偏振器和线圈型保偏光纤偏振器 )消光比的基本测试方法。单模光纤偏振器的基本测试方法有偏振控制器法和旋转波片法 ;研磨型保偏光纤偏振器的基本测试方法有起偏器 45°法和消偏法 ;线圈型保偏光纤偏振器的基本测试方法有偏振控制器法和消偏法。对每种方法的优点和缺点以及在测试过程中可能会出现的问题进行了详细分析 ,并通过实验进行了验证     

20,20-二氯-1,10-二甲氧基三环[5,4,0,012,19]十一碳 -1,5,6-三烯结构和性质的理论研究

在RHF/6-31G、B3LYP/6-31G和MP2/6-31G水平下优化了标题化合物的平均几何构型,用B3LYP/6-31G方法计算了该化合物的红外光谱.并用GIAO分别在B3LYP/6-31G、B3LYP/6-311G和B3LYP/6-311++G水平对该化合物的核磁共振谱进行了研究.计算结果与实验结果吻合很好.同时对在合成过程中发现的两个中间产物进行了理论计算,研究证实了合成标题化合物时中间产物的存在.     

类氢类氦类锂镁离子双电子复合的旁观电子角动量研究

类氢类氦类锂镁离子经中间双激发态进行的双电子复合过程在研究惯性约束聚变电子温度中占有很重要的地位.用准相对论方法计算了双电子复合经不同Rydberg态跃迁通道的复合速率系数,并给出不同离化度离子的双电子复合速率系数随电子温度的变化规律.显示出离子的相关能对峰值的电子温度有很大影响,当类氢离子跃迁通道的旁观电子角动量为1时双电子复合系数最大,而类锂离子是旁观电子角动量为3时最大. 关键词： 双电子复合 镁离子 角动量