变系数非线性发展方程的G'/G展开解

用近年来提出的(G'/G)展开法首次尝试了对变系数非线性发展方程的求解, 并以两类变系数非线性KdV方程为例,且成功得到了新的精确解. 实践证明: (G'/G)展开法不仅适用于常系数非线性发展方程, 而且还很好地适用于变系数非线性方程,具有广泛的应用前景.     

压力及屏蔽对无限深量子阱中施主结合能的影响

对GaAs/Al_xGa_1-xAs和GaN/Al_xGa_1-xN无限深量子阱系统,考虑压力及屏蔽效应,利用变分方法数值计算这两种系统中的杂质态结合能。给出了结合能随阱宽和压力的变化关系,同时讨论了有无屏蔽时的区别。结果表明,结合能随压力增大而增大,随阱宽增大而减小;屏蔽效应随着压力的增加而增加,并且显著降低了杂质态的结合能。     

Coherence-Enhanced Entanglement Induced by a Two-Mode Thermal Field

Considering two identical two-level atoms interacting with two mode thermal field through a nondegerate two-photon process, we study the entanglement dynamics between two atoms when the atomic coherence exists. It shows that the entanglement is dependent on the initial atomic states, and is greatly enhanced due to atomic coherence as compared with the case when the atomic coherence is ignored. The results also show that the entanglement can be controlled by changing the relative phases and the amplitudes of the polarized atoms.     

高效液相色谱法测定小鼠组织中的双酚A

建立了高效液相色谱-荧光检测器测定小鼠组织中的双酚A的分析方法。小鼠组织样品经甲醇-乙酸铵缓冲液匀浆、正己烷-乙醚混合溶剂提取、40℃水浴蒸干后用流动相溶解,以乙腈-0.01mol/L乙酸铵缓冲液(pH=4.5)(体积比为75∶25)为流动相,经C18色谱柱分离,在激发波长230nm、发射波长315nm下进行荧光检测。该方法线性范围是0—20mg/L,精密度是1.46%—6.69%,回收率是80.0%—88.2%,可以满足化学品的分析要求。     

凸二次规划的预估校正光滑算法

本文研究了凸二次规划的一种光滑算法,将规划的对应中心线条件改造成一个非线性方程组,对其应用牛顿法及其变形形式,并且证明了算法的全局收敛性.     

带转向延误的非对称用户平衡模型与算法

为准确刻画交通网络和出行行为的复杂特征,考虑路口的转向延误及路段之间相互作用的非对称性因素,用非线性互补理论建立了带转向延误的非对称用户平衡模型,分析了用户平衡解的存在性.结合列生成算法采用有效路径集来避免枚举路网中所有路径的优点和FBLSA算法求解非线性互补问题的全局收敛性特点,提出了修正FBLSA算法.最后针对一个中等规模的交通网络进行数值实验,结果显示该算法对处理非对称网络是十分有效的.     

耦合系数的线性变化对量子纠缠的调控

考虑原子-光场耦合系数随时间变化的双Jaynes-Cummings模型组成的系统,研究两原子初始处于最大纠缠态时,耦合系数的线性调制对原子纠缠的影响。结果表明：初始纠缠保持时间的长短与耦合系数的线性调制密切相关。无论是单光子过程还是双光子过程,较耦合系数为常数的情形而言,耦合系数线性调制下的初始纠缠消失的时间被大大延迟,延迟时间的长短与耦合系数线性调制的参数选择密切相关,并且在双光子过程中延迟的时间更长。     

Phonon-assisted intersubband transitions in wurtziteGaN/InxGal_xN quantum wells

A detailed numerical calculation on the phonon-assisted intersubband transition rates of electrons in wurtzite GaN/In x Ga 1 x N quantum wells is presented. The quantum-confined Stark effect, induced by the built-in electric field, and the ternary mixed crystal effect are considered. The electron states are obtained by iteratively solving the coupled Schrdinger and Poisson equations. The dispersion properties of each type of phonon modes are considered in the derivation of Fermi’s golden rule to evaluate the transition rates. It is indicated that the interface and half-space phonon scattering play an important role in the process of 1-2 radiative transition. The transition rate is also greatly reduced by the built-in electric field. This work can be helpful for the structural design and simulation of new semiconductor lasers.     

旋转对Cz法硅晶生长过程中热输运和熔体流动影响的数值模拟

建立了一个120 kg单晶炉的二维轴对称全局模型,分别对无旋转、加入晶体旋转、加入坩埚旋转、同时加入晶体旋转和坩埚旋转的四种工况展开了数值模拟研究.得到了晶体旋转及坩埚旋转对晶体生长过程的拉晶功率、炉内温度分布和熔体流动的影响;得到了不同晶体长度下拉晶炉内的温度分布以及熔体流动的变化规律.结果显示,加入晶体旋转对晶体生长过程的拉晶功率、温度分布和熔体流动的影响小于坩埚旋转的影响;随着晶体长度的增加,晶体旋转及坩埚旋转对温度分布和熔体流动的影响不断减小.因此在单晶炉设计和优化过程中应考虑整个晶体生长过程.     

Quantum correlations between two non-interacting atoms under the influence of a thermal environment

By considering a double Jaynes-Cummings model, we investigate the dynamics of quantum correlations, such as the quantum discord and the entanglement, for two atoms in their respective noisy environments, and study the effect of the purity and the cavity temperature on the quantum correlations. The results show that the entanglement suffers sudden death and revival, however the quantum discord can still reveal the quantum correlations between the two atoms in the region where the entanglement is zero. Moreover, when the temperature of each cavity is high the entanglement dies out in a short time, but the quantum discord still survives for quite a long time. It means that the quantum discord is more resistant to environmental disturbance than the entanglement at higher temperatures.