图的最大二等分问题的非线性规划算法

基于图的最大二等分问题的半定规划松驰模型 ,本文提出一个非线性规划算法求解该模型 ,得到该半定规划松驰模型的一个次优解 ,并且给出算法的收敛性证明 .数值试验表明该方法可以有效地求解图的最大二等分问题的松驰模型     

反转磁场处粒子运动分析

本文用解析方法分析了反转磁场位形中反转力线处粒子运动以及引导中心性质,从哈密顿函数出发,讨论了粒子在准势场中的束缚运动的特征以及x-px相空间上的周期性质;给出了引导中心坐标、绝热不变量、运动频率和漂移速度等物理量的表达式,从而描写了粒子二维运动图象。该工作为不稳定性理论和非线性动力学理论的进一步研究打下基础。     

非线性Schroedinger方程的整体吸引子

本文讨论了一类带调和势｜x｜^2的非线性Schroedinger方程解的长时间行为，证明了整体吸引子的存在性．     

氟喹诺酮类抗菌药物与过渡金属离子Cr3+, Mn2+和Fe3+形成配合物配位位置的研究

通过1D ¹H NMR, ¹³C NMR和1H自旋-晶格弛豫时间T₁对氟喹诺酮类抗菌药物与过渡金属离子Cr³⁺, Mn²⁺和Fe³⁺形成配合物的位置进行了研究, 合成了固体配合物对其进行了元素分析. 实验结果表明过渡金属离子Cr³⁺, Mn²⁺和Fe³⁺与氟喹诺酮类抗菌药物形成1∶2的配合物, 并确定了配位位置.     

Correlation between Post-LASIK Starburst Symptom and Ocular Wavefront Aberrations

Monochromatic aberrations in post laser in-situ keratomileusis （LASIK） eyes are measured. The data are categorized into reference group and starburst group according to the visual symptoms. Statistic analysis has been made to find the correlation between the ocular wavefront aberrations and the starburst symptom. The rms aberrations of the 3rd and 4th orders for the starburst group are significantly larger than those for the reference group. The starburst symptom shows a strong correlation with vertical coma, total coma, spherical aberrations. For 3-mm pupil size and 5.8-mm pupil size, the modulation transfer function （MTF） of the starburst group are lower than those of the reference group, but their visual acuities are close. MTF and PSF analyses are made for two groups, and the results are consistent with the statistical analysis, which means the difference between the two groups is mainly due to the third- and fourth-order Zernike aberrations.     

有限时区非线性系统的最优切换控制

This paper proposes a optimal control problem for a general nonlinear systems with finitely many admissible control settings and with costs assigned to switching of controls. With dynamic programming and viscosity solution theory we show that the switching lower-value function is a viscosity solution of the appropriate systems of quasi-variational inequalities(the appropriate generalization of the Hamilton-Jacobi equation in this context) and that the minimal such switching-storage function is equal to the continuous switching lower-value for the game. With the lower value function a optimal switching control is designed for minimizing the cost of running the systems.     

物理实验教学新模式的探索与实践

提出了一种新的物理实验教学模式，论述了建立实验教学模式所遵循的基本原则和基本做法，简要介绍实施新的教学模式所取得的教学成果。     

一般非线性控制系统的最小Hamiltonian实现问题研究

本文给出了一般非线性控制系统的最小Ｈａｍｉｌｔｏｎｉａｎ实现的存在性条件和唯一性结果。     

Cs-He光学碰撞中的非绝热跃迁

激光激发Cs He碰撞复合物,测量了Cs(62P)精细结构布居数分支比,由此证实了发生在光学碰撞中的非绝热跃迁.激光频率从Cs(6P3/2)红翼30cm-1调至蓝翼30cm-1,在6P3/2的近翼,分支比与矢谐量有很大的关系.同时测量了Cs(6PJ)态的精细结构转移截面,截面值σ21=9.8×10-19cm2.     

Resonant Reaction in Rb-Cs Vapour Mixture Rb（5P1/2） ＋ Cs（6P3/2） → Cs（8S1/2）＋Rb（5S1/2）

We experimentally study energy-pooling collision in the Rb-Cs vapour mixture at low densities in a cell. Atoms are excited to Rb（5P1/2） and Cs（6P3/2） states using two single-mode diode lasers. To isolate the heteronuclear contribution in the fluorescence spectrum, a double-modulation technique is adopted. The excited-atom density and spatial distribution are mapped by monitoring the absorption of a counterpropagating single-mode diode laser beam, tuned to Rb（5P1/2 → 7S1/2） and Cs（6Pa/2 → 8S1/2） transitions, respectively, which could be translated parallel to the pump beams. The excited atom densities are combined with the measured fluorescence ratios to determine cross section for the energy-pooling process [i.e. Rb（5P1/2） ＋Cs （6P3/2） → Cs（8S1/2）＋Rb （5S1/2）]. The cross section is 3.79 × 10^-14 cm^2 ± 45%.