Sodium atom in strong magnetic fields：a pseudospectral approach

Energies and wavefunctions of low-lying states and Rydberg states for the sodium atom in uniform magnetic fields varying from 0 to 10^5T are calculated using a pseudospectral approach with a model potential in spherical coordinates. The energies are comparable with experimental results as well as those obtained by other calculations. The spectra of oscillator strength are worked out. The evolution of them with the magnetic field is shown.     

The isolated critical value phenomenon in local－global riddling bifurcation

A chaotic synchronized system of two coupled skew tent maps is discussed in this paper. The locally and globally riddled basins of the chaotic synchronized attractor are studied. It is found that there is a novel phenomenon in the local－global riddling bifurcation of the attractive basin of the chaotic synchronized attractor in some specific coupling intervals. The coupling parameter corresponding to the locally riddled basin has a single value which is embedded in the coupling parameter interval corresponding to the globally riddled basin, just like a breakpoint. Also, there is no relation between this phenomenon and the form of the chaotic synchronized attractor. This phenomenon is found analytically. We also try to explain it in a physical sense. It may be that the chaotic synchronized attractor is in the critical state, as it is infinitely close to the boundary of its attractive basin. We conjecture that this isolated critical value phenomenon will be common in a system with a chaotic attractor in the critical state, in spite of the system being discrete or differential.     

关于数列{2~n}

易知等比数列{2~n}前n项的和为S_n=a_(n+1)-2。对于这个关系式,我们有三点联想。 (一)简便求和。若a_5=32,则S_4=30。 (二)判定由关系式a_(n+1)=rS_n+S给出的数列是否为等比数列。事实上a_(n+1)=rS_n+S (1) a~n=rS_(n-1)+S (2) (1)-(2)得a_(n+1)-a_n=r(s_n-S_(n-1))=ra_n a_(n+1)/a_n=r+ 因此,r≠-1,a_1=S,{a_n}为等比数列。 (三)等比数列前n项和公式的新法推导。     

全国第十届数学方法与数学教育学术研讨会暨MM课题实施20周年纪念活动纪要

全国第十届数学方法论与数学教育学术研讨会暨MM课题实施20周年纪念活动,于2009年9月28日上午,在无锡第一中学举行了隆重的开幕式.     

(±)-Yaequinolone A2的简洁全合成

由廉价的邻氨基苯甲酸为起始原料经6步反应以27.8%的总产率首次合成了2-喹啉酮类生物碱(±)-yaequinolone A2,关键步骤为MOM保护的α-羟基酰胺进行的高非对映选择性分子内aldol 反应。     

一段反应法制备宽/双峰聚乙烯催化剂的研究进展

阐述了采用一段反应法制备宽/双峰聚乙烯催化剂的研究开发进展,并根据催化剂的组成和结构,将催化体系归纳为复合催化剂和单组分催化剂.复合催化剂包括茂金属/Ziegler-Natta复合催化剂、不同茂金属复合催化剂、铬系/Ziegler-Natta复合催化剂、茂金属/后过渡金属复合催化剂、非茂单活性中心/茂金属复合催化剂、非茂单活性中心/Ziegler-Natta复合催化剂和不同后过渡金属复合催化剂.复合催化剂中多活性组分具有不同的链增长、链转移、链终止速率常数,从而在聚合反应中得到不同相对分子质量的聚合物,导致其相对分子质量分布加宽,因而复合催化剂可用于一段反应法制备宽/双峰聚乙烯.单组分催化剂包括单核茂金属催化剂、多核茂金属催化剂、后过渡金属催化剂及其它单组分催化剂.单组分催化剂可用于一段反应法制备宽/双峰聚乙烯,其催化机理是中心金属原子与主配体、辅配体、助催化剂、其它添加剂及载体形成了多种活性中心.     

基于腔面非注入区的半导体激光器的热特性分析

利用Ansys有限元分析软件模拟了宽条形激光器腔面在不同生热率条件下对有源区温度的影响,并对带有腔面非注入区的激光器结构进行了热分析,比较了不同长度的非注入区结构的器件的温度特性。腔面的温升对器件可靠性影响极大,计算结果表明随着非注入区宽度的增加,芯片前腔面有源区的温度明显降低。结果为采用非注入区结构提高COD阈值功率提供了设计参考。