New q‐Hermite polynomials: characterization,operators algebra and associated coherent states

This paper addresses a construction of new q‐Hermite polynomials with a full characterization of their main properties and corresponding raising and lowering operator algebra. The three‐term recursive relation as well as the second‐order differential equation obeyed by these new polynomials are explicitly derived. Relevant operator actions, including the eigenvalue problem of the deformed oscillator and the self‐adjointness of the related position and momentum operators, are investigated and analyzed. The associated coherent states are constructed and discussed with an explicit resolution of the induced moment problem. The phase collapse in a q‐deformed boson system is studied.     

一阶导数光谱法测定食用植物油中桐油掺混的研究

本文建立花生油、豆油、菜籽油、棕榈油、茶油和食用调和油（由菜籽油、花生油和芝麻油组成）等食用植物油中桐油掺混的一阶导数光谱定性定量测定方法。桐油的一阶导数光谱特征是：２９１３、２７８３和２６６４ｎｍ处各有一峰谷，２８４１、２７１５和２６０７ｎｍ处各有一峰顶。２９１３ｎｍ处的（ΔＥ１％１ｃｍ／Δλ）值为－１０３×１０３。当食用植物油的桐油掺率低至０１％，桐油的上述光谱特征仍然明显存在，波长的改变值≤０７ｎｍ。桐油掺混率的检出限＜０１％。     

定义在分形集上函数的H-导数

 分形的生成含有降维与升维两种形式,采用适当的方式总可以对分形集加以定向化,分形的内禀测度是Hausdorff测度。因此,定义在分形集上的函数可以看作是在Hausdorff测度下定义在区间[0, h]。在函数图像也是分形的前提下,依函数的Hausdorff测度的定义,给出了定义在分形集上的函数f(p)关于Hausdorff测度p的导数以及一些性质。     

钡铁氧体前驱体高能球磨过程的红外拟合光谱分析

高能球磨法是材料制备过程中常用的方法,通过物料在高速运转的过程中进行磨合而产生晶体空位缺陷,实现元素的掺杂,进而发生化学吸附或化学反应,合成产生新的物相,对于后续合成材料的性能有很大影响.钡铁氧体具有良好的磁性能,被用于功能材料制备的诸多领域.采用高能球磨法制备钡铁氧体前驱体,利用XRD,SEM和FTIR检测方法考察不...     

新型富勒烯衍生物的光限幅研究

应用倍频Ｎｄ∶ＹＡＧ脉冲激光，在波长为５３２ｎｍ、脉冲宽度分别为８ｎｓ和２３ｐｓ的条件下，研究了新型富勒氮烯乙酰氨衍生物（Ｎ－ａｃｅｔａｍｉｄｅ１，２－ｄｉｈｙｄｒｏ－１，２－ａｚａ－ｆｕｌｅｒｅｎｅ［６０］）的反饱和吸收与光限幅特性。实验结果表明，同脉宽为纳秒的激发脉冲相比，富勒烯乙酰氨衍生物对脉宽为皮秒的脉冲限幅效果比较好。     

Upper bound for the time derivative of entropy for a stochastic dynamical system with double singularities driven by non-Gaussian noise

A stochastic dynamical system with double singularities driven by non-Gaussian noise is investigated. The Fokker--Plank equation of the system is obtained through the path-integral approach and the method of transformation. Based on the definition of Shannon's information entropy and the Schwartz inequality principle, the upper bound for the time derivative of entropy is calculated both in the absence and in the presence of non-equilibrium constraint. The present calculations can be used to interpret the effects of the system dissipative parameter, the system singularity strength parameter, the noise correlation time and the noise deviation parameter on the upper bound.     

平滑、导数、基线校正对近红外光谱PLS定量分析的影响研究

基于偏最小二乘法 ,利用平滑、导数、基线校正预处理手段 ,对近红外光谱进行了定量分析 ,比较了分析结果 ,给出了不同预处理方法的PRESS值和RMSEC的值 ,比较并选取了最佳预处理方法。在平滑预处理方法中 ,比较了不同平滑点数对预测的影响 ,确定了最佳平滑点数 ,通过采用PLS回归分析 ,与原始光谱数据回归比较 ,结果令人满意。     

AgTCNQ衍生物旋涂膜绿光可擦重写光存储性质研究

报道了新型电子转移复合物AgTCNQ脂类衍生物：银-(2,5-二丙酸甲酯-7,7,8,8-四氰基对苯醌二甲烷)的旋涂薄膜的光谱特征、薄膜的静态绿光可擦重写光存储性能,并研究了薄膜的可擦重写机理。结果表明该薄膜在388nm和675nm处有两个源于复合物中阴离子自由基TCNQ(C2H4COOCH3)2^-中的电子跃迁的特征吸收峰;AgTCNQ酯类衍生物旋涂膜具有良好的绿光光存储性能,该薄膜在写入功率为9mW,写入脉冲为80ns,擦除功率为4mW,擦除脉冲为500ns时反射率衬比度大于15％,循环次数可达100次以上,并且没有出现任何疲劳现象。机理研究表明,AgTCNQ酯类衍生物与AgTCNQ有着相同的可逆光致变色机理,即在激光作用下因复合物中可逆电子转移引起薄膜光学性质的可逆变化,从而实现可擦重写光信息存储。     

Ion-acoustic waves in plasma of warm ions and isothermal electrons using time-fractional KdV equation

The ion-acoustic solitary wave in collisionless unmagnetized plasma consisting of warm ions-fluid and isothermal electrons is studied using the time fractional KdV equation. The reductive perturbation method has been employed to derive the Korteweg-de Vries equation for small but finite amplitude ion-acoustic wave in warm plasma. The Lagrangian of the time fractional KdV equation is used in a similar form to the Lagrangian of the regular KdV equation with fractional derivative for the time differentiation. The variation of the functional of this Lagrangian leads to the Euler-Lagrange equation that gives the time fractional KdV equation. The variational-iteration method is used to solve the derived time fractional KdV equation. The calculations of the solution are carried out for different values of the time fractional order. These calculations show that the time fractional can be used to modulate the electrostatic potential wave instead of adding a higher order dissipation term to the KdV equation. The results of the present investigation may be applicable to some plasma environments,such as the ionosphere plasma.     

二苯酮类紫外线吸收剂衍生物的分子设计

UV-0为母体结构,设计了系列新型含氟衍生物,以增强二苯酮类紫外线吸收剂在涂层表面的含量,提高其抗紫外线性能. 为探讨含氟侧链的引入对几何构型和电子光谱等性质的影响,筛选新型紫外线吸收剂,采用量子化学密度泛函理论在B3LYP/6-31++G**水平上对标题化合物分子几何构型进行了优化和电子光谱研究. 计算结果表明：含氟侧链通过酯键连接时,随着侧链的增长,O17与环B之间的共轭作用减弱,分子共轭体系减小,对紫外线的吸收能力变弱;含氟侧链通过醚键连接时,其在230~290 nm、310~400 nm区间有更强的紫外线吸收能力,同时含氟侧链的长度对紫外吸收曲线的影响较小. 综合考虑衍生物的紫外线吸收能力和的表面富集能力,预测化合物Ⅴ最优.