Exact Polynomial Solutions of Schrdinger Equation with Various Hyperbolic Potentials

The Schrdinger equation with hyperbolic potential 2V(x) =-V0sinhq(x/d)/cosh6(x/d)(q = 0, 1, 2, 3) is studied by transforming it into the confluent Heun equation. We obtain general symmetric and antisymmetric polynomial solutions of the Schrdinger equation in a unified form via the Functional Bethe ansatz method. Furthermore, we discuss the characteristic of wavefunction of bound state with varying potential strengths. Particularly, the number of wavefunction's nodes decreases with the increase of potential strengths, and the particle tends to the bottom of the potential well correspondingly.     

Exact Polynomial Solutions of SchrSdinger Equation with Various Hyperbolic Potentials

The Schrodinger equation with hyperbolic potential V （ x ）=- Vosinh 2q （ x / d） / cosh 6 （ x / d） （q= 0, 1, 2, 3） is studied by transforming it into the confluent Heun equation. We obtain genera/symmetric and antisymmetric polynomial solutions of the SchrSdinger equation in a unified form via the Functional Bethe ansatz method. Furthermore, we discuss the characteristic of wavefunction of bound state with varying potential strengths. Particularly, the number of wavefunction＇s nodes decreases with the increase of potentiaJ strengths, and the particle tends to the bottom of the potential well correspondingly.     

探地雷达超宽带高斯脉冲信号源的设计

脉冲源作为探地雷达的核心部件,其高功率和超宽频带可保证探测距离和探测分辨率,波形的光滑性与稳定性同时也影响着目标成像质量。选用雪崩三极管组成Marx电路输出单极性脉冲,采取措施优化波形中的不光滑部分,精确计算传输线延迟时间,信号反向叠加形成双极性脉冲,设计梳状PCB形式有利于脉冲源的小型化。测量结果表明:脉冲波形平滑对称,正负峰间脉宽为1.64 ns,幅度为812 V(50 负载),拖尾振荡低于总体幅值的10%,和仿真结果吻合较好,符合探地雷达的需求。     

机器学习与分子模拟协同的CH4/H2分离金属有机框架高通量计算筛选

在减少CO₂排放、实现碳中和的背景下, 金属有机框架(MOFs)在清洁能源领域展现出广阔应用前景. 提出一种机器学习和分子模拟协同的分层筛选策略, 快速、准确地从134185个假设MOFs中识别出具有最佳CH₄/H₂分离性能的吸附剂. 首先, 根据MOFs的结构性质, 筛掉孔径或体积比表面积不恰当的吸附剂, 初筛后MOFs的数量减至62278个. 接下来, 抽取10% MOFs将结构和化学混合描述符作为特征, 利用随机森林分别构建变压吸附和真空变压吸附过程中其对CH₄的吸附剂性能得分(APS)预测模型. 相比于其他模型构建策略, 基于本策略构建的模型具有最优预测准确性, 可用于余下MOFs的性能预测. 随后根据APS预测值排序, 筛选出Top 1000的MOFs并利用分子模拟修正预测结果, 进一步确定了10个最佳MOFs. 最后, 对描述符的重要性进行解释, 揭示了实现模型在不同操作场景下的迁移具有潜力, 为未来开发适用于多操作场景下的高性能MOFs筛选方法提供了一条高效的研究路径和方法.     

容性耦合射频氩等离子体放电诊断研究及仿真模拟

针对中等气压、中等功率下射频容性耦合(CCRF)等离子体的放电特性,采用基于流体模型的COMSOL软件仿真,建立一维等离子体放电模型,以Ar为工作气体,研究同一气压时不同射频输入功率下等离子体电子温度和电子密度的分布规律。同时依据仿真模型设计制作相同尺寸的密闭玻璃腔体和平板电极,实验测量了不同射频输入功率时放电等离子体的有效电流电压及发射光谱,进而计算等离子体的电子温度及电子密度;利用玻耳兹曼双线测温法,得到光谱法下等离子体的电子温度及电子密度。结果表明:当气体压强为250 Pa、输入功率为100~450 W时,等离子体电压电流呈线性关系,电子密度随功率的增大而增大,而电子温度并未随功率的变化而有明显变化,其与功率无关。运用仿真模拟验证了实验的准确性,通过比较,三种方法所得的结果相近。通过结合等效回路法、光谱法和数值模拟仿真法初步诊断出中等气压下等离子体的放电参数,提出了结合三种方法作为实验研究的方法,使实验结果更具说服力,证明其方法的可靠性,也为进一步的等离子体特性研究提供依据。     

Dynamics of Nonautonomous Dark Solitons

We solve a generalized nonautonomous nonlinear Schrdinger equation analytically by performing the Hirota's bilinearization method. The precise expression of a parameter , which provides a compatibility condition and dark soliton management, is obtained. Comparing with nonautonomous bright soliton, we find that the gain parameter affects both the background and the valley of dark soliton (∈2≠1) while it has no effects on the wave central position.Moreover, the precise expressions of a nonautonomous black soliton's (∈2≠1) width, background and the trajectory of its wave central, which describe the dynamic behavior of soliton's evolution, are investigated analytically. Finally, the stability of the dark soliton solution is demonstrated numerically. It is shown that the main characteristic of the dark solitons keeps unchanged under a slight perturbation in the compatibility condition.     

Nonlinear Excitation and State Transition of Multi-Peak Solitons

We study the nonlinear excitations in the integrable fifth-order nonlinear Schr?dinger equation on a continuous wave background. The excited condition of each localized wave is demonstrated via concise phase diagrams.In particular, the rule of transition between asymmetric and symmetric multi-peak solitons is revealed. It is shown that the initial phase modulation can induce the transition and the transition condition is demonstrated exactly. Interestingly, our result shows that although the multi-peak solitons exhibit structural diversity, both the asymmetric and symmetric states possess an identical asymmetric spectrum structure.     

Eu3+激活的La2Mo2O9红色荧光粉的制备与性能

利用高温固相法制备了Eu³⁺掺杂的La₂Mo₂O₉红色荧光粉,并对这种荧光粉的结构及发光性质进行了研究。XRD结果表明,实验合成了单一立方相的La₂Mo₂O₉荧光粉体。该荧光粉的激发光谱由一宽带和一系列的锐峰组成;发射光谱由一系列锐峰组成,这些都与Eu³⁺的特征跃迁⁵D_J(J=0,1)和⁷F_J(J=1~4)相对应。结果表明该荧光粉可被395nm的紫外光和470nm的可见光有效激发,并发出峰值位于620nm左右的红光,亮度可达到传统红色荧光粉Y₂O₂S:Eu³⁺的1.5倍以上,这表明它可以作为蓝+黄模式白光LED的红色补光粉,也可以作为UV-LED激发三基色荧光粉体系中的红色荧光粉。研究了Eu³⁺的掺杂浓度以及不同助熔剂对样品发光性质的影响。Eu³⁺的摩尔分数为0.3时,发光强度达到最强。质量分数为3%的NH₄Cl作为助熔剂时效果最好。     

电沉积技术制作高聚物微流控芯片模具

利用电沉积技术制作微流控芯片金属模具,方法是:使用新型超厚光刻胶SU8胶作近紫外光刻,并在光刻后的图案上电沉积金属Ni,之后去胶,最终获得金属模具.该法减小了电沉积工作量.采用反向电流预处理基底、并适当增加电铸液的添加剂以及脱模后真空退火,即可明显提高电沉积微结构与基底的结合力.用此金属模具成功热压了PMMA,制成了微流控芯片.     

基于消能井井深变化下水力特性的研究

研究了消能井内消能工井深变化对各水力参数的影响。试验在中部进流时,消能井直径D、通气孔直径d、出口高度h、短压力段坡比l固定的情况下,通过改变消能井井深来研究井深对流态、压强、不均匀程度的影响,最后通过对脉动压强和系统消能率的比较分析来研究井深变化时各水力特性规律及消能井井深的合理取值。本次试验采用4种井深的变化,综合多次水头变化来研究井深变化对水力特性的影响。试验结果表明:对于同一堰上水头,相对水垫深度h_j/D_0随井深波动变化,在井深H_0/D_0=1.5时水垫深度达到最大,压强及其波动的不均匀程度也最小,所以本模型拟采用井深H_0/D_0=1.5最为合理。