A time domain analysis of wave motions in chiral materials

A time domain analysis of the equations governing wave propagation in an unbounded chiral medium is presented by a spectral family approach and by a direct eigenfunction expansion using Beltrami–Moses fields.     

Observability Inequalities by Internal Observation and Their Applications

By means of a Carleman estimate, we obtain several observability inequalities by internal observation for hyperbolic equations with lower-order terms. Also, we apply our observability results to an exact controllability problem and an inverse wave source problem.     

非对称耦合量子阱中亚毫米波辐射及其带间激子复合发光特性的理论研究

基于V形三能级模型运用密度矩阵方程研究了非对称耦合量子阱退局域化现象，并具体分析了导带中电子作阱间振荡所产生的亚毫米辐射和激子复合所产生的近红外发射物理过程.理论结果表明：阱间电子波包振荡等效为一经典阻尼振子，其寿命由载流子与纵向光学声子散射时间和电子穿过势垒的渡越时间决定，所产生的亚毫米波辐射强度衰减仅与阱间阻尼系数有关，其线性服从洛仑兹分布.由带间激子复合所产生的近红外辐射频率随电子阱间振荡频率增加而减小，表现为量子限域斯塔克红移，即非对称量子阱在近红外发光区特性随反向偏压而变.这一结果预示着耦合量子 关键词： 非对称耦合量子阱 电子波包振荡 亚毫米波辐射 近红外发射     

双轴晶体电光调制器的最优设计

运用新的线性电光效应的耦合波理论，对双轴晶体KTP电光调制器的温度特性进行了理论研究.找到了一个入射光波矢的方向，在该方向上，出射光光强不随温度的变化而变化，而且此方向在一定的角度范围内变动，温度的稳定性是可以保持的.还进一步对晶体的通光长度和外加电场的方向进行了筛选，实现了双轴晶体KTP电光调制器的最优设计. 关键词： 电光效应 耦合波理论 电光调制器 最优设计     

非线性Schroedinger方程组的精确解组

运用Maple语言程序，在没有假设的条件下，得到了具有耦合特性的非线性Schrfidinger方程组的行波精确解组及其约束条件方程，它们的表达式涵盖了所有的耦合解组与非耦合解组，具有任意性。耦合解组的算例函数及其特性分析，解释了α螺旋蛋白质螺旋链运动模型的行波孤立子解的耦合效应，揭示了增加、稳定和控制蛋白质活性和功能的方向。文章的研究方法，为求解耦合的非线性微分方程组的行波精确解组探索了蹊径。     

Some aspects of gravitational quantum mechanics

String theory, quantum geometry, loop quantum gravity and black hole physics all indicate the existence of a minimal observable length on the order of Planck length. This feature leads to a modification of Heisenberg uncertainty principle. Such a modified Heisenberg uncertainty principle is referred as gravitational uncertainty principle(GUP) in literatures. This proposal has some novel implications on various domains of theoretical physics. Here, we study some consequences of GUP in the spirit of Quantum mechanics. We consider two problem: a particle in an one-dimensional box and free particle wave function. In each case we will solve corresponding perturbational equations and compare the results with ordinary solutions.     

2-Soliton-Solution of the Novikov-Veselov Equation

Based on a superposition method recently proposed to obtain 1-solitary wave solutions of the KdV-Burgers equation (Yuanxi and Jiashi, 2005, International Journal of Theoretical Physics 44, 293–301), we show that this method can also be used to find a 2-solitary wave solution of the Novikov-Veselov equation. Thus, it seems that the method of Yuanxi and Jiashi in general is not restricted to constructing 1-solitary wave solutions of nonlinear wave and evolution equations (NLWEEs).     

On Global Optimality Conditions and Cutting Plane Algorithms

We discuss global optimality conditions and cutting plane algorithms for DC optimization. The discussion is motivated by certain incorrect results that have appeared recently in the literature on these topics. Incidentally, we investigate the relation of the Tikhonov reciprocity theorem to the optimality conditions for general nonconvex global optimization problems and show how the outer-approximation scheme developed earlier for DC programming can be used to solve a wider class of problems.     

激光技术及强激光与物质相互作用实验

利用科研成果，开设激光技术及强激光与物质相互作用实验，让学生了解强激光与物质相互作用时的2个典型效应：二次非线性光学效应，高压冲击波（光力学）效应，实现了科研与实验教学的紧密结合。