一类非谐振模型势径向平均值的解析表达式及其递推关系

获得了一类非谐振模型势，即环形非球谐振子、非球谐振子和环形振子径向平均值的两个递推关系.给出了这些非谐振模型势的部分径向幂次平均值的解析表达式. 关键词： 环形非球谐振子 非球谐振子 环形振子 径向平均值 解析表达式 递推关系     

Scattering states of the Klein–Gordon equation with Coulomb-like scalar plus vector potentials in arbitrary dimension

Properties of scattering states of the Klein–Gordon equation with Coulomb-like scalar plus vector potentials are investigated in an arbitrary dimension. Exact results of normalized wave functions of scattering states in the “k/2π scale” and formula of phase shifts are presented.     

能谱涨落展示的多项式拟合法

展示能谱涨落是能谱涨落统计分析的首要工作。本文描述了能谱涨落及其展示的基本思想,在综合各类谱的涨落展示法的基础上提出一套普适性较强的多项式拟合展示法,并用实例处理予以具体说明。     

离子液体辅助N,S,F共掺杂纳米TiO2的制备与表征

以TiCl4、硫脲和离子液体([C6mim]+[BF4]-)为原料,采用微波催化水解法合成掺杂的纳米TiO2前驱体,在NH3/N2气氛中经程序升温煅烧处理制得N,S,F共掺杂TiO2光催化剂(N—S—F—TiO2)。采用X射线粉末衍射(XRD)、X射线光电子能谱(XPS)、紫外-可见漫反射光谱(UV-Vis/DRS)等对该光催化剂的结构和性能进行表征。结果表明,该光催化剂为锐钛矿晶型,具有较高的纯度和结晶度,掺杂在TiO2晶体中形成Ti—O—N键,Ti—O—S键,Ti—S键,而F以TiOF2形态掺杂。在可见光区400～550nm具有强吸收,且在600～800nm出现一个较强的吸收带。实验表明,使用[C6mim]+[BF4]-与H2O的体积比为5/95所制得的光催化剂对甲基橙降解的催化活性最高,可见光照射200min降解率达95%。多掺杂的协同效应使得N—S—F—TiO2具有对可见光的强烈吸收和较高的可见光催化活性。     

双环形Hulthén势束缚态的近似解析解

构造了双环形Hulthén势, 用指数函数近似表示任意分波的离心项, 运用函数分析法讨论双环型Hulthén势Schrödinger方程的束缚态解. 归一化的角向波函数和径向波函数用超几何多项式表示, 给出了束缚态能谱, 体系的束缚态的能谱方程和波函数与量子数和势参数有关. 中心势场和单环形势场角向波函数及 Hulthén势束缚态能谱是本文双环形Hulthén势的特例. 关键词： 双环形Hulthén势 任意分波 近似解析解 束缚态     

无孔双马来酰亚胺树脂微球的制备

无孔双马来酰亚胺树脂微球的制备;聚醚酰亚胺;双马来酰亚胺树脂;相结构;微球     

基于智能交通系统的耦合映射跟驰模型和交通拥堵控制

基于智能交通诱导信息，提出一种改进的耦合映射跟驰模型，用于描述单车道的交通流动力学特性及其拥堵控制.利用反馈控制理论，给出了在头车速度发生变化时交通流保持稳定的条件.分析结果表明，考虑前方更多车辆的信息对交通流有致稳作用，亦即稳定性条件明显减弱.数值模拟证实了理论分析的正确性，通过与他人相关工作的比较得知，考虑智能交通诱导信息能够更有效地抑制交通拥堵. 关键词： 交通流 智能交通系统 耦合映射跟驰模型 交通拥堵控制     

The construction of a two-dimensional organic–inorganic hybrid double perovskite ferroelastic with a high Tc and narrow band gap

Two-dimensional (2D) hybrid double perovskites have attracted extensive research interest for their fascinating physical properties, such as ferroelectricity, X-ray detection, light response and so on. In addition, ferroelastics, as an important branch of ferroic materials, exhibits wide prospects in mechanical switches, shape memory and templating electronic nanostructures. Here, we designed a 2D phase-transition double perovskite ferroelastic through a structurally progressive strategy. This evolution is core to our construction process from 0D to 1D and AgBi-based 2D. In this way, we successfully synthesized 2D lead-free ferroelastic (DPA)₄AgBiBr₈ (DPA = 2,2-dimethylpropan-1-aminium) with a high Curie temperature (T_c), which shows a narrower band gap than 0D (DPA)₄Bi₂Br₁₀ and 1D (DPA)₅Pb₂Br₉. Moreover, the mechanism of structural phase transition and molecular motion are fully characterized by temperature dependent solid-state NMR and single crystal XRD. (DPA)₄AgBiBr₈ injects power into the discovery of new ferroelastics or the construction and dimensional adjustment in new hybrid double perovskites.

By using a lead-free AgBi-based scheme, we successfully synthesized a two-dimensional double perovskite ferroelastic (DPA)₄AgBiBr₈ with high T_c of 375 K and a narrow band gap of 2.44 eV, where DPA is 2,2-dimethylpropan-1-aminium.     

Bound states of Klein—Gordon equation for double ring-shaped oscillator scalar and vector potentials

In spherical polar coordinates, double ring-shaped oscillator potentials have supersymmetry and shape invariance for θ and r coordinates. Exact bound state solutions of Klein—Gordon equation with equal double ring-shaped oscillator scalar and vector potentials are obtained. The normalized angular wavefunction expressed in terms of Jacobi polynomials and the normalized radial wavefunction expressed in terms of the Laguerre polynomials are presented. Energy spectrum equations are obtained.