三维各向同性谐振子的几何动量分布

尽管几何动量最初的引入是为了描述超面上的运动粒子的动量,却不需要限制在真实的曲面上.如果一个曲线坐标系包含了超面族和超面上的法向矢量作为一个坐标轴的单位矢量,几何动量可以定义在超面族上,并参与构造对易力学量完全集.在三维各向同性谐振子中,采用球坐标描述,存在等效球面,并在球面族上建立对易力学量完全集.因此,三维各向同性谐振子同时具有动量和几何动量分布.这两个动量的差,可以定义为径向动量,从而使得径向动量可以测量.那么,通过几何动量,可以显示出狄拉克引进的径向动量的物理意义,而不是一直认为的那样完全不具有观测意义.     

作为表面增强拉曼光谱基底的高度均匀Au纳米棒的构筑及对福美双的检测

采用种子生长法制备Au纳米棒(GNRs),随后进行组装和煅烧得到单层致密堆积的GNRs薄膜.在煅烧过程中,组装所需有机物在煅烧过程中分解,从而使得GNRs表面具有较高的清洁度.研究中发现,煅烧前后金纳米棒表面的间隙进一步提高,增强了其SERS(表面增强拉曼光谱)活性.为了研究其SERS活性,选择了2种探针分子以研究其灵...     

Immobilization of carboxyl-modified multiwalled carbon nanotubes in chitosan-based composite membranes for U(VI) sorption

Journal of Radioanalytical and Nuclear Chemistry - The carboxyl-modified multiwalled carbon nanotubes were immobilized in chitosan-based composite membranes (CS-CNTs) which were used as efficient...     

Investigation of capacitance storage and cyclic voltammetry for the electrochemical oxidation of phenol on iridium and lead oxide electrodes

Journal of Solid State Electrochemistry - The capacitance storage and cyclic voltammetry (CV) of electrochemical oxidation of phenol were investigated using IrO2–Ta2O5/Ti and β-PbO2/Ti...     

Multiple bifurcation trees of period-1 motions to chaos in a periodically forced,time-delayed,hardening Duffing oscillator

In this paper, bifurcation trees of periodic motions in a periodically forced, time-delayed, hardening Duffing oscillator are analytically predicted by a semi-analytical method. Such a semi-analytical method is based on the differential equation discretization of the time-delayed, nonlinear dynamical system. Bifurcation trees for the stable and unstable solutions of periodic motions to chaos in such a time-delayed, Duffing oscillator are achieved analytically. From the finite discrete Fourier series, harmonic frequency-amplitude curves for stable and unstable solutions of period-1 to period-4 motions are developed for a better understanding of quantity levels, singularity and catastrophes of harmonic amplitudes in the frequency domain. From the analytical prediction, numerical results of periodic motions in the time-delayed, hardening Duffing oscillator are completed. Through the numerical illustrations, the complexity and asymmetry of period-1 motions to chaos in nonlinear dynamical systems are strongly dependent on the distributions and quantity levels of harmonic amplitudes. With the quantity level increases of specific harmonic amplitudes, effects of the corresponding harmonics on the periodic motions become strong, and the certain complexity and asymmetry of periodic motion and chaos can be identified through harmonic amplitudes with higher quantity levels.     

Nonlinear FCS-MPC strategy of NPC/H-5 L inverter based on satisfactory optimization algorithm

In the design of the cost function in the nonlinear finite control set model predictive control (FCS-MPC) system, the traditional method based on weighting factors demonstrates some limitations, such as the weighting factors adjusting and heavy predictive calculation due to the increased number of voltage vectors applied in controlling multilevel converters. This paper proposes a simplified FCS-MPC method based on common mode voltage satisfactory optimization, which could considerably reduce the predictive calculation by the optimized switch combination and simplify the cost function design. Moreover, satisfactory optimization is adopted to achieve the accuracy control of common-mode voltage amplitude without adjusting process of weighting factors. The simulation and experimental results verify the feasibility of this control strategy.     

Phosphorylation of graphehe oxide to improve adsorption of U(VI) from aquaeous solutions

Journal of Radioanalytical and Nuclear Chemistry - The graphene oxide (GO) was functionalized with phosphate groups and applied as an effective adsorbent for the removal of uranium from aqueous...     

Spatial variability and radiation assessment of the radionuclides in soils and sediments around a uranium tailings reservoir,south of China

Journal of Radioanalytical and Nuclear Chemistry - The concentrations of 238U, 226Ra, 232Th and 40K and gross α, β were measured in soils and sediments around a uranium tailings reservoir...     

Kinetics and isothermal adsorption of U(VI) in aqueous solution by nano-Ni0

Journal of Radioanalytical and Nuclear Chemistry - The nanoscale zero-valent nickel (nano-Ni0) was prepared by liquid-phase reduction method and characterized by BET, XPS, FT-IR and XRD and be used...