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.     

羟甲基化木质素磺酸盐添加剂对钻井液性能的影响

为了进一步优化木质素磺酸盐作为钻井液处理剂的效能,利用其与甲醛的羟甲基化反应制备了羟甲基化木质素磺酸盐;采用红外光谱仪、X射线粉末衍射仪、扫描电镜等分析了其结构;测定了改性前后的木质素磺酸盐对钻井液流变性、降滤失性、黏土水化膨胀抑制性等性能的影响.结果显示,改性后的羟甲基化木质素磺酸盐的整体结构变化不大,但羟基数量增加,与水的相溶性增强.与木质素磺酸盐相比,羟甲基化木质素磺酸盐在室温下对基浆有较强的提黏作用,经180℃高温老化后降黏、降滤失作用有所增强,形成的泥饼厚度降低,对黏土水化膨胀的抑制作用增强.     

Pandemic-Driven Development of a Medical-Grade,Economic and Decentralized Applicable Polyolefin Filament for Additive Fused Filament Fabrication

A polyolefin with certified biocompatibility according to USP class VI was used by our group as feedstock for filament-based 3D printing to meet the highest medical standards in order to print personal protective equipment for our university hospital during the ongoing pandemic. Besides the chemical resistance and durability, as well as the ability to withstand steam sterilization, this polypropylene (PP) copolymer is characterized by its high purity, as achieved by highly efficient and selective catalytic polymerization. As the PP copolymer is suited to be printed with all common printers in fused filament fabrication (FFF), it offers an eco-friendly cost–benefit ratio, even for large-scale production. In addition, a digital workflow was established focusing on common desktop FFF printers in the medical sector. It comprises the simulation-based optimization of personalized print objects, considering the inherent material properties such as warping tendency, through to validation of the process chain by 3D scanning, sterilization, and biocompatibility analysis of the printed part. This combination of digital data processing and 3D printing with a sustainable and medically certified material showed great promise in establishing decentralized additive manufacturing in everyday hospital life to meet peaks in demand, supply bottlenecks, and enhanced personalized patient treatment.     

一个关于勒让德多项式的积分公式及其简单应用——圆形带电环和电流环的静态电磁势

给出了一个关于勒让德多项式的积分公式及其证明,用该公式和叠加法方便快捷地导出了圆形带电环和电流环的静态电磁势.     

基于半导体光放大器的干涉型器件中噪声特性的分析

分析了基于半导体光放大器(SOA)的干涉仪分别处于“开”、“关”两种工作状态时的输出信噪比及噪声指数,发现当干涉仪处于“开”态时输出信噪比有所恶化,并导出了附加噪声因子的表达式。实验结果进一步证明了理论分析的正确性。     

多项式环的单位和稳定度的注记

称环R为广义2-素环,如果R的幂零元集与上诣零根一致.证明了R上的多项式为单位当且仅当它的常数项是R中的单位而其它系数是幂零的.因此,广义2-素环上的多项式环的稳定度大于一.     

一类矩阵多项式的秩特征

给出了一类矩阵多项式的秩特征定理及它的多种证法.     

电解液中有机添加剂对锌电极性能的影响

本文通过恒电位计时电流、恒电位阶跃以及线性扫描等电化学方法考察了电解液中加入有机添加剂对锌电极电化学性能的影响。结果表明,在电解液中添加1∶1的NMP TCX型添加剂能有效的抑制锌电极在碱液中枝晶的生长并具有较好的缓蚀作用。     

矩阵多项式可逆的充要条件——兼与吴华安先生商榷

给出了矩阵多项式可逆的另一个充要条件,并指出文[1]中的错误.     

毛细管电泳法快速测定保健食品中免疫球蛋白G

建立了毛细管电泳法快速测定保健食品中免疫球蛋白G(IgG)含量的方法,成功测定了不同剂型(片剂、粉剂及胶囊)牛初乳保健品中IgG的含量。以37 cm×50μm(i.d.)未涂敷熔融石英毛细管为色谱分离柱,50 mmol/L四硼酸钾 65 g/L聚乙二醇20 000(1 mol/L氢氧化铯调pH 10.0)为运行缓冲液,于214 nm波长处检测。详细研究了影响实际样品中IgG分离及准确定量的关键因素,如添加剂的种类、浓度;运行及样品缓冲液的浓度及pH等。采用峰面积外标法定量。方法的精密度为2.1%(n=7);检出限为6.25 mg/L(S/N=3);线性范围为50~2000 mg/L;400 mg/L IgG迁移时间的相对标准偏差(RSD)为0.14%;峰面积的RSD为2.9%(n=7)。6 m in内即可实现保健食品中IgG的分离与测定,结果与产品标示值基本吻合。