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采用Langmuir探针法结合发射光谱法对螺旋波诱导的低压氢等离子体进行诊断,根据Druyvesteyn 方法和日冕模型分析电子能量几率函数(EEPF)、有效电子温度(Teff)、电子密度(ne)及激发态氢原子密度(nH*)随实验参数的变化规律.结果表明:随射频功率(Prf)、气压(p)和约束磁场(B)的增大,EEPF峰位由高能向低能移动,Teff 下降;当Prf从25W增大至35W左右时,ne发生跳跃增长,而nH*始终随Prf增大线性增长;随p增大,ne和nH*都呈现先增加后减小的变化规律;随B增强,ne线性增长,而nH*先增大后减小.     

Comment on phase conventions in helicity formalism

Using the sequential decay process m e⁺e^- → J/ψ → ΛΛ, Λ → pπ^-, Λ → pπ⁺ as an example, the procedure for deducing the full angular distribution is illustrated by adopting both the Jacob-Wick and Jackson conventions in the helicity formalism. To make sure that the final physical result is free of phase conventions, we point out that the coefficients that relate the angular momentum states in different coordinate systems of reference frames have to be taken into account properly in the procedure. The fact that those coefficients are constants suggests that the Jackson convention is favorable in dealing with the processes with sequential decays.     

A viable method for goodness-of-fit test in maximum likelihood fit

A test statistic is proposed to perform the goodness-of-fit test in the unbinned maximum likelihood fit. Without using a detailed expression of the efficiency function, the test statistic is found to be strongly correlated with the maximum likelihood function if the efficiency function varies smoothly. We point out that the correlation coefficient can be estimated by the Monte Carlo technique. With the established method, two examples are given to illustrate the performance of the test statistic.     

插层三元铁硒超导体的电子结构和磁性质的理论研究

最近发现的插层三元铁硒超导体AyFexSe2（A=K,Rb,Cs和/或Tl）显示诸多新颖现象.为了澄清这些现象,作者分别计算了没有铁空位的基于完整四方FeSe层的AFe2Se2,含有四分之一铁空位的4×2或2×2超结构的AFe1.5Se2,以及含有五分之一铁空位的槡5×槡5超结构的A0.8Fe1.6Se2三种情况下的电子结构和相应的磁构型,发现AFe2Se2是双共线反铁磁的半金属,而AFe1.5Se2和A0.8Fe1.6Se2则是分别具有数十和数百毫电子伏特能隙的反铁磁半导体,并分别处于共线反铁磁长程序和区块化棋盘反铁磁长程序中.作者还分析和讨论了AyFexSe2的这些基本电子结构可能对超导性质的影响.     

特殊Cartan型李超代数的Borel子代数

本文研究了特征零的代数闭域上秩为4的有限维特殊Cartan型李超代数S的结构.利用正则元的划分,确定出S关于典范环面的所有正根系,从而得到了S的所有Borel子代数;对于每一个正根系,通过给出其单根系,得到了任何两个Borel子代数的连接关系;最后确定了每一个Borel子代数的极大可解性.本文所得结果可用于进一步研究Cartan型单李超代数的结构与表示.     

脉冲喷洒杀虫剂的植物病害模型的周期解

本文研究脉冲喷洒杀虫剂的植物病害模型.考虑在传染率随时间周期变化和森林树木总数保持不变的条件下,讨论具有垂直传播的一类具有单个种群的脉冲喷洒农药的SIRS模型,根据单值算子和Bohl-Brouaser不动点理论证明了无病周期解存在性,并且利用单值矩阵,Floquet理论得到其基本再生数并且给出了其无病周期解局部渐近稳定的条件.