New two-mode intermediate momentum-coordinate representation with quantum entanglement and its application

We construct four linear composite operators for a two-particle system and give common eigenvectors of those operators. The technique of integration within an ordered product (IWOP) of operators is employed to prove that those common eigenvectors are complete and orthonormal. Therefore, a new two-mode intermediate momentum-coordinate representation which involves quantum entanglement for a two-particle system is proposed and applied to some two-body dynamic problems. Moreover, the pure-state density matrix | ξ ₁ ,ξ ₂ >_C,DC,D< ξ ₁ ,ξ ₂ | is a Radon transform of Wigner operator.     

Novel Wronskian Solutions to Boussinesq Equation

The new method for constructing the Wronskian entries is applied to the Boussinesq equation. The novel Wronskian solutions to it are obtained, including solitons, rational solutions, Matveev solutions, and complexitons.     

Ethylene–Norbornene Copolymerization by Carbon Nanotube‐Supported Metallocene Catalysis: Generation of High‐Performance Polyolefinic Nanocomposites

Homogeneous surface coating of multi‐walled carbon nanotubes is achieved for the first time by in situ copolymerization of ethylene (E) and 2‐norbornene (N) as catalyzed directly from the nanotube surface previously treated by a highly active metallocene‐based complex, i.e., rac‐Et(Ind)₂ZrCl₂/MMAO‐3A. The copolymerization reaction allows for the destructuration of the native nanotube bundles, which upon further melt blending with an ethylene–vinyl acetate copolymer (27 wt.‐% vinyl acetate) matrix, leads to high‐performance polyolefinic nanocomposites. The microstructural analysis of the surface‐coating copolymer was carried out by ¹³C NMR spectroscopy and allowed determination of the actual N content incorporated along the chains. Depending on the experimental conditions used (e.g., E pressure, solvent, feed N concentration) the relative quantity of E–N copolymer can be tuned, as well as the N content in the formed copolymers and accordingly their glass transition temperature.

     

Vibration reduction of floating elastic plates in surface waves

Based on dynamical theories of water waves and dynamics of Mindlin thick plates,the investigation of the wave-induced responses and the vibration reduction of an elastic floating plate are presented using the Wiener-Hopf technique.Without regard to the case of elastic connector,the calculated results obtained by the present method are in good agreement with those from the literature and the experiment.It can be shown that the present method is valid.Relations between the spring stiffness to be used to connect the sea bottom and the floating plate and the parameters of wave-induced responses of floating plates are investigated using the present method.Therefore, these results can be used as theoretical bases for the design stage of super floating platform systems.     

杯芳烃衍生物和丙烯酰胺作为复合功能单体的分子印迹聚合物对海因类化合物的选择性识别研究

以杯[4]芳烃衍生物+丙烯酰胺作为复合功能单体,将其运用到分子印迹技术中,对海因类化合物R-苄基海因进行选择性识别.研究结果表明,由单一的杯[4]芳烃衍生物或丙烯酰胺作为功能单体的分子印迹聚合物对R-苄基海因的选择性均不高,而由杯[4]芳烃衍生物+丙烯酰胺作为复合功能单体的分子印迹聚合物对模板分子具有较高的特异选择性.     

溶胶-凝胶法制备四种环糊精衍生物毛细管气相色谱柱

采用溶胶-凝胶法制备了七(2,3,6-三-O-乙基)-β-环糊精(全乙基-β-CD)、七(2,3,6-三-O-丙基)-β-环糊精(全丙基-β-CD)、七(2,3,6-三-O-辛基)-β-环糊精(全辛基-β-CD)和2,6-二-O-苄基-β-CD 4种环糊精衍生物毛细管气相色谱柱。在制备方法上,仿照一般动态法,大大简化了制备过程,缩短了制备时间。所得色谱柱的理论塔板数在3000/m左右,能够很好地分离苯衍生物的位置异构体,尤其对难分离的二甲苯、甲酚等取得了理想效果(α＞1),其中溶胶-凝胶法制备的全烷基(乙基、丙基、辛基)化环糊精衍生物柱的分离能力优于2,6位苄基衍生化的环糊精柱。 同一根柱不同次进样和不同柱之间表现出良好的重复性,保留时间的相对标准偏差小于8.5%;对使用大约40次后的溶胶-凝胶柱重新进行测试,柱效下降不明显,说明该类色谱柱的稳定性良好。     

Adaptive finite element method for analysis of pollutant dispersion in shallow water

A finite element method for analysis of pollutant dispersion in shallow water is presented. The analysis is divided into two parts ： （ 1 ） computation of the velocity flow field and water surface elevation, and （2） computation of the pollutant concentration field from the dispersion model. The method was combined with an adaptive meshing technique to increase the solution accuracy, as well as to reduce the computational time and computer memory. The finite element formulation and the computer programs were validated by several examples that have known solutions. In addition, the capability of the combined method was demonstrated by analyzing pollutant dispersion in Chao Phraya River near the gulf of Thailand.     

紫外与深紫外非线性光学晶体的新进展

随着光刻、激光微加工以及激光光谱仪的发展,紫外与深紫外光谱区的相干光源变得越来越重要.本文简要地回顾了使用阴离子基团理论发展新型硼酸盐系列紫外与深紫外非线性光学晶体的历史,同时系统地介绍了这些硼酸盐系列晶体的线性和非线性光学性质.最后给出一些产生紫外与深紫外谐波输出的典型例子以及它们的应用.     

变截面圆形管道粘性流动的伽辽金-摄动杂交解

采用伽辽金-摄动杂交法来研究壁面是正弦形状的变截面圆形管道的粘性流动,从而避免了摄动小参数的局限性和单纯伽辽金法基函数选取的任意性的困难．讨论了边界和雷诺数对流动的影响,获得流动分离点和附着点的位置,还分析了壁面剪应力和摩擦系数沿轴向的变化情况．在小参数的情况下,计算所获得的结果与摄动解吻合良好．     

Linearization and correction method for nonlinear problems

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