Exact Solution of the Milburn Equation for the Two—Mode Two—Photon Jaynes—Cummings Model

We adopt an algebraic method to study the two-mode two-photon Jaynes-Cummings model governed by the Milburn equation and find an exact solution of Milburn equation of the system.The influence of the intrinsic decoherence on the nonclassical effects of the system is also discussed.     

High—Dimensional Integrable Models with Infinitely Dimensional Virasoro—Type Symmetry Algebra

Using every realization of the Virasoro-type symmetry algebra[σ(f1),σ(f2)]=σ(f1f2-f2f1),we can obtain various high-dimensional integrable models under the meaning that they possess infinitely many symmetries,By means of a concrete realization ,many(3 1)-dimensional equations which possess Kac-Moody-Virasoro-type infinite dimensional symmetry algebras are obtained.     

Dynamics of Transiently Chaotic Neural Network and Its Application to Optimization

Through adding a nonlinear self-feedback term in the evolution equations of nerual network,we introduced a transiently chaotic neural network model.In order to utilize the transiently chaotic dynamics mechanism in optimization problem efficiently,we have analyzed the dynamical pocedure of the transiently chaotic neural network model and studied the function of the crucial bifurcation parameter which governs the chaotic behavior of the system.Based on the dynamical analysis of the transiently chaotic neural network model,Chaotic annealing algorithm is also examined and improved.As an example,we applied chaotic annealing method to the traveling salesman problem and obtained good results.     

对高考中一道三角不等式的再探究

结合均值不等式和琴生不等式,对2020全国Ⅱ卷(理科)的导数题中的三角不等式给出两类推广,并谈谈与学生共同探究过程中的心路历程.     

有机化学创新设计性实验*——氨基酸催化的不对称Aldol反应

氨基酸催化的不对称Aldol反应是不对称催化领域的一个研究热点,将其转化为设计性创新实验并面向化学院三年级学生开设。通过对反应底物、催化剂、溶剂等不同反应条件的探索,加深学生对手性、烯胺催化等概念、机理的理解,培养学生的科研能力及创新能力。     

BINARY AND TERNARY ION EXCHANGE KINETICS SO4^2——Cl^——NO3^——201×7SYSTEM

Kinetics of chloride/sulfate,chloride/nitrate and nitrate/sulfate forward exchanges and reverse exchanges at solution concentrations of 1N,0.2N and 0.02 N on 201×7 strong base anion exchange resin,respectively,have been examined at 25℃.It is found that the forward and the reverse exchange rates of the two given ions at low solution concentration,respectively,under identical conditions can be controlled by different mechanisms,while those at high solution concentration are all controlled by particle diffusion.The ternary exchange rates of sulfate/(chloride+nitrate) and nitrate/(chloride+sulfate)have also been examined.     

锗酸盐晶体压致非晶化的研究

高压拉曼散射研究表明．ＣｕＧｅＯ３，Ｌｉ２ＧｅＯ３和Ｌｉ６Ｇｅ２Ｏ７三种晶体分别在７，１２和１１ＧＰａ压力下转变为非晶。在高于起始转变压力以上一定范围压致非晶是可逆的，ＣｕＧｅＯ３，Ｌｉ２ＧｅＯ３和Ｌｉ６Ｇｅ２Ｏ７压致非晶的不可逆转变压力分别为１４．１，２０和２０ＧＰａ。压致非晶ＣｕＧｅＯ３的重新晶化温度在６００℃附近。锗酸及系列晶体的压致非晶化与它们的成份和结构有关，随着在这一系列晶体中Ｌｉ２Ｏ含量的增加，压致非晶化的压力趋于减小。     

火花熔蚀—电感耦合等离子体光谱法分析地质矿物

火花熔蚀－电感耦合等离子体光谱法（SA－ICP）用于测量锆石中铪－锆比值和锰铁矿瘤中的铈、钴、铁、铅、镍和磷。用信背比和信噪比的序贯单纯形优化法建立了用于高压火花和氩气ICP系统的六个操作参数。将磨细的样品与铜压成饼，并从样品中熔蚀出的分析物和基体元素的原子发射信号的时间相关性给出一种用火花来作选择取样的方法。测量锆石中的铪、锆浓度比的精密度为4％（相对标准偏差）。对于锰铁矿瘤，根据分析线对锰（Ⅱ）257.610纳米线强度比的光谱测定结果达到分析精密度范围为7－14％（相标准偏差）。分析的准确度用参比物USGS诺得（Nod)P-1的标准物加入法来决定，而与锰浓度的测量无关。     

利用铁（Ⅲ）—硫代硫酸盐反应催化法测定铜（Ⅱ）及其在金属和生物样品分析中的应用

拟定了在没有硫氰酸盐,并且铁的浓度远大于硫代硫酸盐的条件下,应用铁(Ⅲ)-硫代硫酸盐反应催化测定铜(Ⅱ)的分光光度法。获得了轮廓分明的吸收光谱,并且讨论了不稳定的铁(Ⅲ)-硫代硫酸盐络合物的褪色反应。发现了铁(Ⅲ)及其它外来离子对测定只有轻微的影响。铜的校准曲线的线性范围是0-2.0微克,1.0微克铜五次测定的标准偏差是0.036微克,检测限约0.05微克。该法已成功地应用于一些金属和生物样品的分析,无需任何分离。关键词:铜的测定;催化法;铁(Ⅲ)硫代硫酸盐反应;金属;生物样品。根据铁(Ⅲ)-硫代硫酸盐催化反应而建立的目测或光电光度计测定铜已有报导